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
blsea [12.9K]
2 years ago
13

George is now 8 years older than harry, find their present age if in 5 years george will be twice as harry was 2 years ago

Mathematics
1 answer:
umka21 [38]2 years ago
3 0

The present age of George is 25 years and the present age of Harry is 17 years

For given question,

Let x be the age of George and y be the age of Harry.

George is now 8 years older than harry.

So, we get an equation,

x = y + 8                      ...................(1)

After 5 years the age of George will be x + 5 and the age of Harry will be    y + 5

Two years ago the age of Harry = y - 2

In 5 years George will be twice as Harry was 2 years ago.

So we get an equation,

x + 5 = 2(y - 2)                ..............(2)

Substitute the value of x in equation (2)

⇒ x + 5 = 2(y - 2)  

⇒ y + 8 + 5 = 2y - 4

⇒ y + 13 = 2y - 4

⇒ y = 17

Substitute the above value of y in equation (1)

⇒ x = 17 + 8

⇒ x = 25

Therefore, the present age of George is 25 years and the present age of Harry is 17 years

Learn more about an equation here:

brainly.com/question/13170101

#SPJ4

You might be interested in
Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Ro
strojnjashka [21]

Answer:

The missing side is B = 6.0\ cm

The missing angles are \alpha = 56.2 and \theta = 93.8

Step-by-step explanation:

Given

A = 10\ cm

C = 12\ cm

\beta = 30

The implication of this question is to solve for the missing side and the two missing angles

Represent

Angle A with \alpha

Angle B with \beta

Angle C with \theta

Calculating B

This will be calculated using cosine formula as thus;

B^2 = A^2 + C^2 - 2ACCos\beta

Substitute values for A, C and \beta

B^2 = 10^2 + 12^2 - 2 * 10 * 12 * Cos30

B^2 = 100 + 144 - 240 * 0.8660

B^2 = 100 + 144 - 207.8

B^2 = 36.2

Take Square root of both sides

B = \sqrt{36.2}

B = 6.0 <em>(Approximated)</em>

Calculating \alpha

This will be calculated using cosine formula as thus;

A^2 = B^2 + C^2 - 2BCCos\alpha

Substitute values for A, B and C

A^2 = B^2 + C^2 - 2BCCos\alpha

10^2 = 6^2 + 12^2 - 2 * 6 * 12 * Cos\alpha

100 = 36 + 144 - 144Cos\alpha

Collect Like Terms

100 - 36 - 144 = -144Cos\alpha

-80 = -144Cos\alpha

Divide both sides by -144

\frac{-80}{-144} = Cos\alpha

0.5556 = Cos\alpha

\alpha = cos^{-1}(0.5556)

\alpha = 56.2 <em>(Approximated)</em>

Calculating \theta

This will be calculated using cosine formula as thus;

C^2 = B^2 + A^2 - 2BACos\theta

Substitute values for A, B and C

12^2 = 6^2 + 10^2 - 2 * 6 * 10Cos\theta

144 = 36 + 100 - 120Cos\theta

Collect Like Terms

144 - 36 - 100 = -120Cos\theta

8 = -120Cos\theta

Divide both sides by -120

\frac{8}{-120} = Cos\theta

-0.0667= Cos\theta

\theta = cos^{-1}(-0.0667)

\theta = 93.8 <em>(Approximated)</em>

4 0
4 years ago
Which of the following is not a kind of consumer credit?
777dan777 [17]
The personal loans is not a kind of consumer credit
8 0
3 years ago
30 POINTS! PLEASE HELP ME OUT! Find the values of the variables in the parallelogram. The diagram is not to scale.
Mkey [24]

Answer:

B

Step-by-step explanation:

X = 29 by the alternate interior angles

y = 49 by the triangle sum theorem

z = 102 because the opposite sides of a parallelogram are congruent

7 0
3 years ago
Read 2 more answers
Mega Movies hosted a film premiere on Friday night. They charged $9 for adults and $4 for children. Eighty-four adults and child
LiRa [457]
the answer is D you get this from using simultaneous equations the working out is shown in the photo. ignore the stuff at the top of the page

3 0
2 years ago
Read 2 more answers
Heck did I do wrong!?!?! IXL sucks
zysi [14]

Answer:

∠G, ∠HGI, ∠IGH

Step-by-step explanation:

» <u>Concepts</u>

To name an angle, you MUST include the vertex either in the middle or have it standing by itself. To clarify, you can either call this angle ∠G, ∠HGI, or ∠IGH because they all include the vertex, G, in the middle or by itself. You put ∠HIG, which is incorrect because the vertex <u>is not </u><u>I</u>.

<u></u>

6 0
3 years ago
Other questions:
  • A greyhound can go from a state of resting to running at 19.44 meters per second in 1.54 seconds. What is the greyhound's averag
    5·1 answer
  • Which value of t satisfies the inequality 9t + 49 &lt; 110?
    14·1 answer
  • Compute the rest energy of 1 gram of matter. If you could convert this energyentirely into electrical energy and sell it for 15
    9·1 answer
  • Dave is three times older than Jim, and Jim is half Bill’s age. If their average age is 64, what is Jim’s age?
    14·1 answer
  • What is 1+1-1-1-1+81
    7·2 answers
  • Need to finish in 2 hrs help please
    12·1 answer
  • A box contains 421 books. If your teacher orders 19 boxes of books, about how many books will arrive? Use estimation to find you
    13·1 answer
  • #2: Given the geometric sequence 200, 100, 50, 25... (This one is tricky)
    7·2 answers
  • Question
    8·2 answers
  • 9 kg of washing powder cost $10.80. What is the cost of 1 kg of washing powder?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!