Ratio of the present age of a motherto that of the daughteris 7 : 1. After 5 years the ratio will become 4 : 1. What is the
difference (in years) in their present ages?
This questions was previously asked in
SSC CGL 16th August 2021 Shift-1
Explanation:
- Let's assume the present age of the mother is 7x and the daughter is x.
- According to the future ratio condition:
- (7x + 5) : (x + 5) = 4 : 1.
- Solving this equation:
- 7x + 5 = 4(x + 5)
- 7x + 5 = 4x + 20
- 7x - 4x = 20 - 5
- 3x = 15
- x = 5
- The present age of the mother = 7 * 5 = 35 years.
- The present age of the daughter = 5 years.
- The difference in their ages = 35 - 5 = 30 years.
- The correct option is Option:2, 30.
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