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If the sum of 6 times Jack's age and 5 times Larry's age is 63 Jack is 1 year less than 3 times as old as Larry?
The question is "How old are Jack and Larry?" I assume.
Let Jack's age be J years and Larry's age be L years.
The first part of the question tells us that 6J + 5L = 63.
The second part tells us that J = 3L - 1.
Thus 6J + 5L = 63 iff 6(3L-1) + 5L = 63 iff 18L - 6 + 5L = 63
iff 23L = 69 iff L = 3 iff J = 3L - 1 = 3x3 - 1 = 8 (using "iff" for the "is equivalent to" symbol).
So Jack is 8 years old and Larry is 3 years old.
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