2x + y years ago, Roberto was 3x + y years old. How many years old was Roberto x years ago? A. x B. 4x + 2y C. 5x + 2y D. 6x + 2y E. 6x + y Answer: B Source: Magoosh

BTGModeratorVI wrote: ↑Wed Jan 06, 2021 8:00 am 2x + y years ago, Roberto was 3x + y years old. How many years old was Roberto x years ago? A. x B. 4x + 2y C. 5x + 2y D. 6x + 2y E. 6x + y Answer: B Solution: We can let r = Roberto’s age today and create the equation: r - (2x + y) = 3x + y r - 2x - y = 3x + y r = 5x + 2y We see that Roberto is currently (5x + 2y) years old. So x years ago, he was 5x + 2y - x = 4x + 2y years old. Answer: B

BTGModeratorVI wrote: ↑Wed Jan 06, 2021 8:00 am 2x + y years ago, Roberto was 3x + y years old. How many years old was Roberto x years ago? A. x B. 4x + 2y C. 5x + 2y D. 6x + 2y E. 6x + y Answer: B Source: Magoosh Let R = Roberto's PRESENT age. So, R - x = Roberto's age X YEARS AGO (this is our goal!) Also, R - (2x + y) = Roberto's age (2x + y) YEARS AGO 2x + y years ago, Roberto was 3x + y years old. We can write: R - (2x + y) = 3x + y Remove brackets: R - 2x - y = 3x + y Add y to both sides to get: R - 2x = 3x + 2y Add x to both sides to get: R - x = 4x + 2y Answer: B Cheers, Brent

2x + y years ago, Roberto was 3x + y years old. How many years old was Roberto x years ago? - The Beat The GMAT Forum

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2x + y years ago, Roberto was 3x + y years old. How many years old was Roberto x years ago?

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