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The larger of two numbers exceeds 2 times the smaller

number by 6. The sum of 3 times the larger number and
the smaller number is 62. Which equation correctly
identifies x as the smaller number?

A.
3(2x + 6) (x) = 62
B.
3(2x – 6) (2x) = 62
C.
3(2x + 6) + x = 62
D.
(2x + 6) + 2x = 62
E.
(2x + 6) + 3x = 62

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
6 months ago

Let x be the smaller number.

According to the given conditions, the larger number is 2x + 6.

The sum of 3 times the larger number and the smaller number is 62, so we can set up the equation:

3(2x + 6) + x = 62

This equation includes 3 times the larger number (3(2x + 6)) and the smaller number (x), and it equals 62.

Therefore, the correct equation is:

C. 3(2x + 6) + x = 62