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Monday, August 15, 2022

The respective ratio between the present age of son, mother, father and grandfather is 2 : 7 : 8 : 12. The average age of son and mother is 27 years. What will be mother's age after 7 years?

The respective ratio between the present age of son, mother, father and grandfather is 2 : 7 : 8 : 12. The average age of son and mother is 27 years. What will be mother's age after 7 years?
A40 years
B41 years
C48 years
D49 years

Correct answre is: 49 years

Explanation:

According to the question,
\(\Large \frac{2x+7x}{2}=27\)

\(\implies \Large 9x = 27 \times 2 = 54\)

\(\implies x = \frac{54}{9}=6\)

Therefore Mother's age after 7 years

\(= \Large 7x + 7 = 7 \times 6 + 7\)

= 49 years

Nithin
answered undefined

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