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One number is 3 more than twice another, and together they add up to 48. Which is the larger number?

Competition practiceAlgebra

A33
B15
C31
D35

Step-by-Step Solution

Let the smaller be

x

. Then

x + (2 x + 3) = 48

, so

3 x = 45

and

x = 15

. The larger is

2 (15) + 3 = 33

.

Answer: A) 33

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