The ratio of the ages of two friends is 7:9. After 10 years, it will be 19:23. What will be the average age after 7 years from now?
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SSC CHSL 1st June 2022 Shift-1
33 years
Incorrect Answer35 years
Incorrect Answer36 years
Incorrect AnswerExplanation:
- Let's assume the ages of the two friends are 7x and 9x.
- In 10 years, their ages will be (7x + 10) and (9x + 10).
- The future age ratio is given as 19:23.
- Set up the equation: (7x + 10)/(9x + 10) = 19/23.
- Solving the equation, 23(7x + 10) = 19(9x + 10).
- This simplifies to 161x + 230 = 171x + 190.
- Rearranging gives: 10x = 40, so x = 4.
- Current ages are 7x = 28 and 9x = 36.
- Average age in 7 years is (28+7+36+7)/2 = 39 years.
- The correct option is Option 4: 39 years.
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