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प्रश्न
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.
उत्तर
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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