Numerical

The ages of sonu and Monu are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.

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#### Solution

It is given that the ratio of the ages of Sonu and Monu is 7: 5 .

Let the present ages of Sonu and Monu be 7x and 5x years .

After ten years:

Age of Sonu = 7x + 10 years

Age of Monu = 5x + 10 years

According to the question,

\[\frac{7x + 10}{5x + 10} = \frac{9}{7}\]

or 49x + 70 = 45x + 90

or 49x - 45x = 90 - 70

or 4x = 20

or x = 5

∴ Present age of Sonu =\[ 7 \times 5 = 35\text{ years }. \]

Present age of Monu =\[ 5 \times 5 = 25\text{ years }. \]

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