The sum of two numbers is 29. If one number is 5 greater than the other, then the bigger number is 

A) 12 

B) 15 

C) 17 

D) 14

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2 Answers

Correct option is (C) 17

The smaller number is x.

\(\therefore\) other number is x+5.

\((\because\) One number is 5 greater than the other)

Given that sum of two numbers is 29.

\(\therefore\) x + (x+5) = 29

\(\Rightarrow\) 2x = 29 - 5 = 24

\(\Rightarrow\) x = \(\frac{24}2\) = 12

\(\therefore\) Greater (bigger) number = x+5 = 12+5 = 17.

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Correct option is  C) 17

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