Question

15. The ages of Rohan and Sohan are in the ratio 5:3 .Five years
hence, the ratio of their ages will be 10:7.Find their present ages.​

Answer 1

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Answer 2

Given :

Ratio Of Ages Of Rohan and Sohan - 5 : 3

Ratio of Ages After 5 Years - 10 : 7

To Find :

The Present Ages

Solution :

Let, The Present Ages be x ( Ratio ) - 5x : 3x

$\dashrightarrow \sf \: Ratio \: of \: Present \: Ages \: = 5x : 3x$

$\dashrightarrow \sf \: Ratio \: of \: Ages \: after \: 5 \: years \: = 10 : 7$

$\dashrightarrow \sf \:ie \: \: \cfrac{5x + 5}{3x + 5} = \cfrac{10}{7}$

$\dashrightarrow \sf \: (5x + 5) \times7 = (3x + 5) \times 10$

$\dashrightarrow \sf \: 35x + 35 = 30 + 50$

$\dashrightarrow \sf \: 35x - 30x = 50 - 35$

$\dashrightarrow \sf \: 5x = 15$

$\dashrightarrow \sf \: x = \frac{15}{5}$

$\dashrightarrow \sf \: x = 3$

ie, X = 3

Present Ages are :

$\sf \to \: 5x :3 x \: \\ \sf\to5x = 5 \times 3 = 15$

$\sf\to \: 3x = 3 \times 3 = 9$

$\therefore \sf \: Present \: Ages \: of \: Rohan \: and \: Sohan \: are \: 15 \: and \: 9$