Question

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

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Answer 1

Step-by-step explanation:

Given:

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 5:6 years

To Find:

Present age of Rahul and Haroon

Solution:

Let the present age of Rahul and Haroon be 5x and 7x years respectively.

After 4 years

• Rahul's age will be (5x+4) years
• Harron's age=(7x+4) years

ACQ

$\therefore \tt \: \frac{5x + 4}{7x + 4} = \frac{5}{6} \\ \tt \leadsto \: 5(7x + 4) = 6(5x + 4) \\ \tt \leadsto35x + 20 = 30x + 24\\ \tt \leadsto5x = 4 \\ \tt \leadsto \: x = \frac{4}{5}$

Rahul's present age=4/5×5=4 years

Harron's present age=4/5×7=28/5 years

Answer 2

Question:

The ages of Rahul and Haroon are in the ratio 5:7. Four years later the sum of their ages will be 56 years. What are their present ages?

Given:

• The ages of Rahul and Haroon are in the ratio 5:7.
• Four years later the sum of their ages will be 56 years.

To Find:

• Present ages of Rahul and Haroon.

Solution:

Let the present ages of Rahul and Haroon be 5x and 7x respectively.

$\sf{Rahul's\: age\: After\: 4\: Years=(5x+4) years}$ —(1)

$\sf{Haroon's\: age\: after\: 4\: years=(7x+4) years}$ —(2)

According to Question,

$\rightarrow\mathsf{(5x+4)+(7x+4)=56}$

$\rightarrow\mathsf{5x+4+7x+4=56}$

$\rightarrow\mathsf{12x+8=56}$

$\rightarrow\mathsf{12x=56-8}$

$\rightarrow\mathsf{12x=48}$

$\rightarrow\mathsf{x=\large\frac{48}{12}}$

$\rightarrow\mathsf{x=4}$

Putting value of x in (1) & (2). We get,

Rahul's Present age -:

$\dashrightarrow\mathsf{5x=5(4)=20}$

Haroon's Present Age -:

$\dashrightarrow\mathsf{7x=7(4)=28}$

Hence, Present ages of Rahul and Haroon are 20 & 28 respectively.

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