Mrs. Lata was 3 times as old as her son 8 years ago. Their total age is 64 years

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Question
Mrs. Lata was 3 times as old as her son 8 years ago. Their total age is 64 years now. How old (in years) is Mrs. Lata now?
Options
A. 48
B. 12
C. 36
D. 44

Correct Answer

44

Explanation

Suppose present age of Mrs. Lata = P years
Present age of son = Q years
? Their total age = 64 years
P + Q = 64 ....... (i)
According to question,
8 years ago , present age of Mrs. Lata - 8 years = 3 � ( present age of her son - 8 years )
? P ? 8 = 3 (Q ? 8)
? P ? 8 = 3Q ? 24
? P ? 3Q = ? 16 ......(ii)
From equations (i) and (ii), we get
4Q = 80 ? Q = 20
Putting the value of Q in eq.(i)
? Age of Mrs. Lata = 64 ? 20 = 44 years