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Little Johnny is 28 years younger than his mother. His grandfather is 6 years older than twice Johnny's mother's age. The sum of grandfather's and mother's ages is 96.​

How old is little Johnny?​



a) 5 b) 1 c) 4 d) 3 e) 2


Answer: E


Let:
M = mother's age
J = Johnny's age
G = grandfather's age


M = J + 28
G = 2M + 6


2(J + 28) + 6 + J + 28 = 96
2J + 56 + 6 + J + 28 = 96
3J + 62 + 28 = 96
3J + 90 = 96
3J = 6
J = 2



Little Johnny is 2 years old.
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