4 years ago Sonu rsquo s age was 3 times that of Monu 6 years hence Sonu rsquo s age will be 2 times...........

Logical Reasoning(Master ) Problems based on Ages

4 years ago, Sonu’s age was 3 times that of Monu. 6 years hence, Sonu’s age will be 2 times that of Monu. Find their present ages.

36,16

31,11

40,18

34,14

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Master Problems based on Ages

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Explanation:

Let age of Sonu be X and that of Monu be Y.
We rewrite the equations using the conditions given:
Using condition 1,
(X – 4) = 3(Y – 4)
∴ X – 3Y = -8
Using condition 2,
(X + 6) = 2(Y + 6)
∴ X – 2Y = 6
Thus by solving the simultaneous equations we get,
X = 34, Y = 14