Ernesto and His Wife’s Ages

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If Ernesto were 15 years older, he would be 50% older than his wife. The sum of their ages is 90. What is Ernesto's current age?

Review: Ernesto and His Wife's Ages


Explanation

If we call Ernesto's age E and his wife's age W, then we are told that and . We can substitute to solve. When you solve by substitution, you first isolate the variable you don't want at the end. So we isolate W: and then substitute:









This one is easy to check. The wife must be 42. If he were 15 years older, he'd be 63, which is 21 and hence 50% older than his wife.

The correct answer is (A).


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