John is 15 years younger than Jill. 12 years ago, Jill’s age was 1.5 times that of John. Jill is now ______ years old.
57
Let John and Jill age be M and N years respectively.
John is 15 years younger than Jill,
⇒ M = N - 15
12 years ago, Jill’s age was 1.5 times that of John,
⇒ 1.5(M - 12) = (N - 12)
⇒ 1.5M - 18 = N - 12
⇒ 1.5M - N = 6
⇒ 1.5(N - 15) - N = 6
⇒ 1.5N - N - 22.55 = 6
⇒ N = 57
∴ Jill is 57 years old.
Alternate Method
Then the age of John is x - 15
Now, 12byears ago
Age of Jill = x - 12
Age of John = x - 15 - 12 = x - 27
Now, A/Q
x - 12 = 1.5(x - 27)
⇒ x - 12 = 1.5x - 40.5
⇒ 1.5x - x = 40.5 - 12
⇒ 0.5x = 28.5
⇒ x = 28.5/0.5
⇒ x = 57
The age of Jill is 57 years
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