Age of Umesh will be 4 times the age of Reena in 6 years from today. If ages…
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Age of Umesh will be 4 times the age of Reena in 6 years from today. If ages of Umesh and Mahesh are 7 times and 6 times the age of Reena respectively, what is present age of Umesh?
Answer: D. 42 years — Let Reena's present age be y years. Umesh's present age = 7y (given). After 6 years: Umesh = 7y + 6; Reena = y + 6. Given relation: Umesh after 6 years = 4 ×…
- A.
64 years
- B.
30 years
- C.
48 years
- D.
42 years
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Correct answer: D
Let Reena's present age be y years.
Umesh's present age = 7y (given).
After 6 years: Umesh = 7y + 6; Reena = y + 6.
Given relation: Umesh after 6 years = 4 × Reena after 6 years, so 7y + 6 = 4(y + 6).
Solve the equation: 7y + 6 = 4y + 24 ⇒ 3y = 18 ⇒ y = 6.
Therefore Umesh's present age = 7 × 6 = 42 years.
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