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in Linear Equations by (31.2k points)
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Find three consecutive odd numbers whose sum is 147.

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Best answer

Let the numbers be (2x + 1), (2x + 3) and (2x + 5) 

According to the question 

2x + 1 + 2x + 3 + 2x + 5 = 147 

By cross multiplication 

⇒ 6x + 9 = 147 

⇒ 6x = 147 - 9

\(\Rightarrow \text{x}=\frac{138}{6}=23\)

So the numbers are (2x + 1) = 47, (2x + 3) = 49 and (2x + 5) = 51

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