Bill is 27 years older than Ted, who is 38 years younger than Amy. In how many years will Bill be the same age as Amy is now?

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Accepted Answer

Let's write equations representing the relationships between their ages: Bill's age ( B ) in terms of Ted's age ( T ): B = T + 27 Ted's age ( T ) in terms of Amy's age ( A ): T = A − 38 ⇒ A = T + 38 We want to find the number of years ( y ) it will take for Bill to reach Amy's current age: B + y = A Substitute the expressions in terms of T into the equation: ( T + 27) + y = T + 38 Subtract T from both sides: 27 + y = 38 y = 11 Thus, in 11 years, Bill will be the same age as Amy is now.

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