Question

Q2. The age of
Rahul and Haroon is in the ratio 5:7. Four years later the sum of their ages
will be 56 years.What are their present ages?

Answer 1

Given:

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• Ratio of ages of Rahul and Haroon is 5:7.
• Sum of their ages after 4 years = 56 years.

⠀ ⠀⠀

To find:

⠀ ⠀⠀

• Present age of Rahul and Haroon?

⠀ ⠀⠀

Solution:

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☯ Let Present age of Rahul and Haroon be 5x and 7x respectively.

⠀ ⠀⠀

Their ages after 4 years,

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• Age of Rahul = 5x + 4 years
• Age of Haroon = 7x + 4 years

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$\underline{\bigstar\:\boldsymbol{According\:to\:the\:question\::}}$

$:\implies\sf (5x + 4) + (7x + 4) = 56$

$:\implies\sf 12x + 8 = 56$

$:\implies\sf 12x = 56 - 8$

$:\implies\sf 12x = 48$

$:\implies\sf x = \cancel{\dfrac{48}{12}}$

$:\implies{\boxed{\frak{\pink{x = 4}}}}\;\bigstar$

Therefore,

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• Present age of Rahul, 5x = 5 × 4 = 20 years
• Present age of Haroon, 7x = 7 × 4 = 28 years

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$\therefore$ Hence, Present age of Rahul and Haroon is 20 years and 28 years respectively.

Answer 2

Let Rahul's age =5x

Let Haroon's age =7x

A/Q(5x+4)+(7x+4)=56

5x+4+7x+4=56

12x+8=56

12x=56-8

12x=48

x=48/12

x=4

so,Rahul's age=5x=5×4=20

and Haroon's age =7x=7×4=28.

THIS ANSWER IS 100%CORRECT .

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