Sum of present ages of P and Q is 41. Age of P 2 year hence is equal to age of R, 1 year ago. Age of P, 4 year hence is equal to age of Q 1 year ago and ratio of present age of P and S is 3 : 4. Find the difference of age of R and S.
A) 2 B) 3 C) 4 D) 5
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Answer:
{According to the given data,
P + Q = 41 ......(1)
R - 1 = P + 2
R = P + 3
and
P + 4 = Q - 1
=> Q = P + 5 ....(2)
From (1)&(2)
P = 18
Q = 18 + 5 = 23
R = 18 + 3 = 21
=> P/S = 3/4
=> S = 4/3 x 18 = 24
Required Difference = S - R = 24 - 21 = 3.
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