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 they present ages ?
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Answer 1

Answer:

Let the current age of Rahul and Haroon be 5x and 7x respectively

Four years later their ages become 5x + 4 and 7x + 4 respectively.

According to the question,

5x + 4 +7x + 4 = 56

or 12x + 8 = 56

Transposing 8 to the RHS we get,

12x = 48

Dividing both sides by 12 gives,

x = 48/12 = 4

Thus current age of Rahul = 5*4 = 20

Haroon = 7*4 = 28

Answer 2

$\sf \huge \pink\mid \underline \pink{solution} \pink \mid$

$\sf \: Let \: Rahul's \: age = 5x$

$\sf \: Let \: Haroon's \: age = 7x$

$\: \: \: \: \: \: \: \: \: \: \sf \huge \pink\mid \underline \pink{ATQ} \pink \mid$

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

$\sf \implies5x+7x+8=56$

$\sf \implies12x=48$

$\sf \implies \: x = 4$

$\: \: \: \: \: \: \huge \bf \: Finally,$

$\sf \: Rahul's \: age = 5x =5×4=20yrs$

$\sf \: Haroon's \: age = 7x = 7×4=28yrs$