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The sum of 4 consecutive odd numbers is 160. Find the smallest number. 
Question

The sum of 4 consecutive odd numbers is 160. Find the smallest number. 

A.

37

B.

27

C.

35

D.

25

Correct option is A

Given:

The sum of 4 consecutive odd numbers is 160.

​​Solution: 

Let the numbers be:x,x+2,x+4,x+6x, x+2, x+4, x+6
then, 

x+(x+2)+(x+4)+(x+6)=160x + (x+2) + (x+4) + (x+6) = 160

4x+12=160  4x=148  x=374x + 12 = 160 \\ \ \\\ 4x = 148 \\ \ \\ \implies x = 37​​


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