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
sattari [20]
3 years ago
9

3 years ago a father was 3 times as old as his son, in five years time he will be twice as old as his son, what will be the sum

of their years in four years time​
Mathematics
2 answers:
ivolga24 [154]3 years ago
5 0

Answer: 46 years

Step-by-step explanation:

Let the father's age be x and the son's age be y, then 3 years ago:

Father = x - 3

son     = y - 3

Then , from the first statement :

x - 3 = 3 ( y - 3 )

x - 3 = 3y - 9

x     = 3y - 9 + 3

x     = 3y - 6 .......................................... equation 1

In five years time

father = x + 5

son = y + 5

Then , from the second statement

x + 5 = 2 ( y + 5 )

x + 5 = 2y + 10

x       = 2y + 10 - 5

x       = 2y + 5 ........................ equation 2

Equating equation 1 and 2 , we have

3y -6 = 2y + 5

add 6 to both sides

3y = 2y + 5 + 6

subtract 2y from both sides

3y - 2y = 11

y = 11

substitute y = 11 into equation 1 to find the value of x

x = 3y - 6

x = 3(11) - 6

x = 33 - 6

x = 27

This means that the father is presently 27 years and the son is presently 11 years.

In four years time

father = 27 + 4 = 31

son = 11 + 4      = 15

sum of their ages in four years time will be

31 + 15 = 46 years

docker41 [41]3 years ago
4 0

Answer:

46 years

Step-by-step explanation:

Answer:

Step-by-step explanation:

In solving this, we'll make some keen assumptions to solve the question.

We'll represent the father's age with "a"

And represent the sons age as "b"

Lets interpret the question.

3 years ago, (means in the past), we'll subtract.

Therefore:

Father's age = a - 3

Sons age = b - 3

The sentence said, " 3 years ago, father was 3 times the sons age*. Interpreting that becomes:

a - 3 = 3 times (b - 3)

Simplifying that gives :

a - 3 = 3(b - 3)

a - 3 = 3b - 9

a = 3b - 9 + 3

a = 3b - 6 ( FIRST EXPRESSION )

The next line says: In five years time (that's in the future, hence we add) he'll be twice his sons age.

Therefore I become:

Father : a + 5

Son : b + 5

a + 5 = 2(b + 5)

a + 5 = 2b + 10

a = 2b + 5 ( SECOND EXPRESSION)

Equating the first and second equation to solve for "a" - the father's age

3b - 6 = 2b + 5

b = 5 + 6

b = 11 years (Sons age)

Substitute b = 1 in the first expression.

a = 3b - 6

a = 3(11) - 6

a = 33 - 6

a = 27 years (Father's age)

Let resolve, the last sentence:

What will be the sum of their ages in 4 years time. (SINCE IT'S IJ THE FUTURE, WE ADD)

Father's age in four years time: 27 + 4 = 31

Son's age in four years time: 11 + 4 = 15.

The sum of their ages in same four years time becomes:

31 + 15 (years)

46 years

You might be interested in
Help me guys! 50 points!​
timama [110]

Answer:

The volume of the irregular figure would be 144 cm^3.

Step-by-step explanation:

If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is l*w*h, where l, w, and h, represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 cm^3, and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 cm^3. So the volume of the entire irregular figure would be 108 + 36 = 144 cm^3.

3 0
2 years ago
Read 2 more answers
ivan and polina have each drawn a conclusion about multiplying negative fractions. Ivan: The products of an even number of negat
vladimir2022 [97]

Answer:

Both are correct

-1 x -1 = 1

-1 x -1 x -1 = -1

Hope this helps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Se deposita 4000 soles a una tasa de interés del 0,8% quincenas .¿Que interes producirá en cinco quincenas?
katen-ka-za [31]

Answer:

Interes= 162,58

Step-by-step explanation:

Dada la siguiente información:

Se deposita 4000 soles a una tasa de interés del 0,8% quincenas

<u>Primero, debemos calcular el valor final de la inversión:</u>

VF= [VP*( 1 + i)^n]

VF= 4.000*(1,008^5)

VF= 4.162,58

<u>Para calcular el interés ganado en 5 quincenas, debemos usar la siguiente formula:</u>

Interes= 4.162,58  - 4.000

Interes= 162,58

5 0
3 years ago
The next train will arrive in 32 minutes and 30 seconds. In how many seconds will the next train arrive? Enter your answer in th
34kurt

It will arrive in 1950 seconds

6 0
3 years ago
Read 2 more answers
A car travels 8 miles in 12 minutes. What is the cars rate in miles per hour
lorasvet [3.4K]
60/12=5. We use the number 60 because60 minutes per hour, 8x5=40. 40mph
6 0
3 years ago
Other questions:
  • What is bigger three fourths or two thirds
    14·2 answers
  • If a 15 foot tree cast a 40 foot shadow, how tall is a tree that cast 64-foot shadow
    10·1 answer
  • Write a proportion using the ratio WV/WX. Pls help ASAP!!
    14·2 answers
  • 3 divided by 11/12 <br> I need the answer ASAP
    13·1 answer
  • The graph of y=sin(x-3π/2) is the graph of the y=sin(x) shifted in which direction​
    7·1 answer
  • 2. Which statement is true?
    12·1 answer
  • A typical tip in a restaurant is​ 15% of the total bill. If the bill is ​$100​, what would the typical tip​ be
    6·1 answer
  • The perimeter of a park is 300 feet the length of the park is 50 feet longer than the width. Find the length
    5·1 answer
  • A local department store sells carpet in 4 sizes . Each carpet comes in 3 different qualities. One of the size come in 5 colors
    14·1 answer
  • Please see picture of question.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!