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The ratio between the age of Father and Mother is 8 : 7. After 8 years, the total age of the father and mother is 91 years. Find the present age of the father.
40 years
36 years
30 years
35 years
45 years
- Let the present age of the father be 8x and the mother be 7x, since the ratio is 8:7.
- After 8 years, the father’s age will be 8x + 8 and the mother’s age will be 7x + 8.
- The sum of their ages after 8 years is given as 91 years:
\((8x + 8) + (7x + 8) = 91\)
- This simplifies to:
\(15x + 16 = 91\)
- Subtract 16 from 91:
\(15x = 75\)
- Divide by 15:
\(x = 5\)
- Thus, the present age of the father is:
\(8x = 40\) years.
- Option 1: 40 years is the correct answer.
By: Parvesh Mehta ProfileResourcesReport error
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