1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inessa05 [86]
3 years ago
14

Heya! ^^

Mathematics
2 answers:
IRISSAK [1]3 years ago
7 0
<h2>Question:</h2>

Five years ago,A's age was four times the age of B. 5 years hence, A's age will be twice of the age of B. Find their present ages.

<h2>Given:</h2>

  • Five years ago, A's age was 4 times the age of B.

  • .Five years hence A's age will be twice of the age of B.

<h2>To find:</h2>

  • Age of A

  • Age of B

<h2>Let :</h2>

  • present age of A = x

  • present age of B = y

<h2>Answer:</h2>

<u>Five years ago:</u>

  • Age of A= x-5

  • Age of B=y-5

As it's Given 5 years ago A's age was 4 times the age of B

<u>.°. Equation formed as follows:</u>

\sf{}x - 5 = 4(y - 5)

<u>Now</u><u> </u><u>Let's</u><u> </u><u> </u><u>solve</u><u> </u><u>this</u><u> </u><u>equation</u><u>:</u>

:   \implies\sf{}x - 5 = 4y - 20

:  \implies  \sf{}x - 4y =  - 15

:  \implies  \sf{}y = \dfrac{  - 15 - x}{ - 4}

:  \implies  \sf{}y = \dfrac{  15 +   x}{ 4}  \small{........................... \green{⓵}}

<u>Five years hence:</u>

  • Age of A= x+5

  • Age of B = y+5

As it's given 5 years hence A's age will be twice of the age of B.

<u>.°. Equation formed as follows:</u>

\sf{}x + 5 = 2(y + 5)

:  \implies  \sf{}x + 5 = 2y + 10

:  \implies  \sf{}x - 2y = 10 - 5

:  \implies  \sf{}x - 2y = 5\small{........................... \green{⓶}}

<u>Now</u><u> </u><u>put</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>y</u><u> </u><u>in</u><u> </u><u>Equation</u><u> </u><u>2</u>

:  \implies\sf{}x - 2 [\dfrac{  15 +   x}{ 4}] = 5

:  \implies\sf{}x - \dfrac{  30+2   x}{ 4}= 5

multiply each digit by 4

:  \implies \sf{}4x - (30 + 2x) = 20

:  \implies\sf{}4x -30  -  2x = 20

:  \implies\sf{}4x  -  2x = 20 + 30

:  \implies\sf{}2x = 50

:  \implies\sf{}x =  \dfrac{50}{2}

:  \implies\sf{}x = \dfrac{ { \cancel{50}}^{ \:  \: 25} }{ { \cancel2}^{ \:  \: 1} }

:  \implies  \star \boxed{ \sf{}x = 25} \star

we got value of x i.e.25

Put value of x in equation 1:

:  \implies  \sf{}x - 2y = 5

:  \implies  \sf{}25 - 2y = 5

:  \implies  \sf{} - 2y = 5 - 25

:  \implies  \sf{} - 2y =  - 20

:  \implies  \sf{} y =  \dfrac{ - 20}{ - 2}

:  \implies  \sf{} y =  \dfrac{  20}{  2}

:  \implies  \sf{} y =  \dfrac{   { \cancel{20}}^{ \: 10} }{   { \cancel{2}}^{ \: 1} }

:  \implies  \star \boxed{ \sf{}y= 10} \star

As we have supposed A's age as x

<u>.°. A's age = 25</u>

As we have supposed B's age as y

<u>.°. </u><u>B</u><u>'</u><u>s age = </u><u>10</u>

Now Let's Verify their ages:

Put age of A and B in Equation 1:

\sf{}25 - 5 = 4(10 - 5)

:  \implies \sf{}20= 40 - 20

:  \implies \sf{}20= 20

☆Hence Verified ☆

__________________________________________________

And all we are done! ✔

:D

Tasya [4]3 years ago
3 0

Answer:

Let us consider B’s age = X

Then A’s age = 4X

Five years ago

⇒ A’s age = 4X + 5

⇒ B’s age = X + 5

Five years hence

⇒ A’s age = 4X + 5 + 5

⇒ A’s age = 4X + 10

⇒ B’s age = X + 5 + 5

⇒ B’s age = X + 10

From the given question

4X + 10 = 2(X + 10)

4X + 10 = 2X + 20

4X – 2X = 10

2X = 10

X = 5

A’s age = 4X + 5

A’s age = 25 years

B’s age = X + 5

B’s age = 10 years

please mark me as brainliest

You might be interested in
Can you please help me out on this one ​
vampirchik [111]

Answer:

9

Step-by-step explanation:

You need to divide 54 by 6

4 0
3 years ago
Read 2 more answers
You need to fill a cylindrical glass with water. the glass is 6 inches tall and 2
Maurinko [17]
Answer:
volume = pi x r^2 ×h
where r is radius and h is height.
h= 6 in
r= 1
V=(22/7)×1^2 ×6
V=18.857in^3
Step-by-step explanation: Since the glass cup is cylindrical in shape, we use the formula for find volume of a cylinder iff the glass cup is to be filled full.
The volume of water will be equal to the volume of the cup. Across the widest point means diameter, hence half diameter gives radius.

4 0
2 years ago
Tony is trying to find the solution of the system 2x - 4y +12 using elimination 3x + 4y = 48 He wrote these steps to solve the p
kobusy [5.1K]

Answer: Solution: (12, 3)

Step-by-step explanation:

2x - 4y = 12

3x + 4y = 48

Add both equations

5x = 60

Divide both sides by 5

x = 12

We can use the value of x to find y

3x + 4y = 48

3 (12) + 4y = 48

36 + 4y = 48

Subtract 36 from both sides

4y = 12

Divide both sides by 4

y = 3

Solution: (12, 3)

7 0
3 years ago
If Ray earns $120 for 15 hours of work how much will he earn for 20 hours of work at the same rate​
Free_Kalibri [48]
Find his rate:
120 / 15 = $8 per hour
Multiply the rate by hours:
$8 x 20 hours = $160
He will earn $160
8 0
3 years ago
A day care facility is open six days a week. The numbers of children who
Igoryamba

Answer:

23

Step-by-step explanation:

23 is the only number that is told the  MOST not least let me know if you need any more help ---shadow5555

5 0
3 years ago
Other questions:
  • QUESTION 4 of 10: Your average weekly take home wage is $615. You take a one-week paid vacation and a second week unpaid vacati
    10·2 answers
  • George's page contains twice as many type words as Bill's paid and Bill's page contains 50 fewer words and Charlie's page. If ea
    12·2 answers
  • The expression sin(x)(cos(x)cot(x)-sin(x)) simplifies to
    8·2 answers
  • Please help!! Will give brainliest if right!
    13·1 answer
  • How do find length and width if you have the area?
    11·1 answer
  • A bex contains 5 plain pencis and 5 pens. A second box contains 5 color pencils and 3 crayons. One item from each box is chosen
    5·1 answer
  • 1. Find the value of x.<br><br> A. 90<br> B. 80<br> C. 60<br> D. 45
    14·1 answer
  • The mess of Levitical code in people's lives <br>​
    15·1 answer
  • What is the quotient of 6.591 times 10^7 6 and 8.45 times 10^2 expressed in scientific notation?
    12·1 answer
  • Graph the polygon with the given vertices and its image after a reflection in the given line.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!