Question

Present ages of Ram and Rahim are in the ratio 7:5,After 4 years their ages are 6:5.Find their present ages

Answer 1

Answer

Let Ram's present age be 7x.

Let Rahim's present age be 5x.

According to the question,

${\sf \dashrightarrow \dfrac{7x + 4}{5x + 4} = \dfrac{6}{5}}$

Cross multiply the numbers.

${\sf \dashrightarrow 5 (7x + 4) = 6 (5x + 4)}$

${\sf \dashrightarrow 35x + 20 = 30x + 24}$

${\sf \dashrightarrow 35x - 30x = 24 - 20}$

${\sf \dashrightarrow 5x = 4}$

${\sf \dashrightarrow x = \dfrac{4}{5}}$

Now, we can find the present ages of Ram and Rahim.

Present age of Ram :

${\sf \dashrightarrow 7x = 7 \bigg( \dfrac{4}{5} \bigg)}$

${\sf \dashrightarrow \dfrac{28}{5} = 5.6 \: years}$

Present age of Rahim :

${\sf \dashrightarrow 5x = 5 \bigg( \dfrac{4}{5} \bigg)}$

${\sf \dashrightarrow \dfrac{20}{5} = 4 \: years}$

Hence, present ages of Ram and Rahim are 5.6 and 4 years respectively.