Question

the present age of Aand B are in the ratio 7:5 and 10 years later their age will be in the ratio 9:7 find the present age
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Answer 1

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Answer 2

• Given 

• Present age of a and b are in the ratio of 7:5

• 10 years later their age will be in the ratio of 9:7

• To find 

• Their present age

• Solution

According to the question,

Let the age of A and b be 7x and 5x

:$\implies \sf{ \dfrac{7x + 10}{5x + 10} = \dfrac{9}{7}}$

: $\implies \sf{7(7x + 10) = 9(5x + 10)}$

: $\implies \sf{49x + 70 = 45x + 90}$

: $\implies \sf{49x - 45x = 90 - 70}$

: $\implies \sf{4x = 20}$

: $\implies \sf{x = \dfrac{20}{4}}$

: $\green{\bigstar}$ $\underline{\boxed{ \sf \blue{x = 5}}}$

$\red{\bigstar}$ $\underline{\boxed{ \sf \blue{Present ~age ~of ~A~ = 7x ~= 7 × 5 = 35 ~years.}}}$

$\red{\bigstar}$ $\underline{\boxed{ \sf \blue{Present ~age ~of ~B ~= 5x~ = 5 × 5 = 25~ years}}}$