Question
Four years ago, A’s age was 11 years less than 1.2 times
his current age. The ratio of B’s age after 6 years to C’s age 1 year ago is 4:1. What is B’s present age, if C is 50% less than A?Solution
ATQ,
Let the present age of A, B and C be ‘a’, ‘b’ and ‘c’ years respectively.
a – 4 = 1.2 × a – 11
0.2 × a = 7
a = 7 / 0.2
a = 35 years
So, age of c = 35 × 0.5 = 17.5 years
Also, (b + 6)/(c – 1) = 4/1
b + 6 = 4 × (17.5 – 1) = 4 × 16.5 = 66
b = 66 – 6 = 60 years
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