Paul is elder than his brother Bryan. Their ages are consecutive integers whose product is 506. How old are Bryan and Paul?
A) Bryan is 22, Paul is 23
B) Bryan is 16, Paul is 17
C) Bryan is 28, Paul is 29
D) Bryan is 34, Paul is 35

Question

Quizplus · Accepted Answer

The product of Bryan and Paul's ages is 506. Since their ages are consecutive integers, we can set up the equation $x(x + 1) = 506$, where $x$ is the younger brother's age. Factoring 506 gives us 22 * 23, which fits the consecutive integer requirement, making Bryan 22 and Paul 23.

Paul Is Elder Than His Brother Bryan