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The sum of the present ages of Varun and Kapil is 42 yr. The ratio of their ages after 5 yr will be 15 : 11 What is the present age of Kapil?
A) 17 yr
B) 24 yr
C) 25 yr
D) 22 yr
Correct answer:
A) 17 yr
Description for Correct answer:
Total age of father and mother = 35 x 2 = 70 yr
and total age of father, mother and son
= > 27 x 3 = 81 yr
Age of son = 81 - 70 = 11 yr
Let the present age of Varun be x and present age of Kapil be y.
According to the questions,
x+ y = 42 ... (1)
From the question, After, 5 yr, \( \large\frac{x + 5}{y + 5} = \frac{15}{11} \)
= >11x +55 = 15y + 75
= > 11x - 15y = 20 .... (2)
On solving equation (1) and (2),
11x + 11y = 462
Y = \( \large\frac{442}{26} \)
Hence, present age of Kapil = 17 yr
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