Bob's current age is 23 years and Melanie's current age is 15 years. How many years ago was Bob's age twice Melanie's age?
A.) 16 B.) 9 C.) 8 D.) 7 E.) 5 x = number of years ago 23 - x = Bob's age "x years ago" 15 - x = Melanie's age "x years ago" 23 - x = 2(15 - x) {how many years was Bob's age twice Melanie's age} 23 - x = 30 - 2x {used distributive property on right side} 23 + x = 30 {added 2x to both sides} x = 7 {subtracted 23 from both sides} D.) 7 years ago, Bob was twice as old as MelanieTo check: 7 years ago, Bob was 23 - 7 = 16 7 years ago, Melanie was 15 - 7 = 8 He was twice as old as her Ask Algebra House
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