Question

The sum of four consecutive odd positive integers is $160$. Find the largest among them.

• A. 37
• B. 39
• C. 41
• D. 43
• E. 45

Answer 1

Answer: (D)

43

Let the four consecutive odd positive integers are $x,x+2,x+4,x+6$

$\therefore x+x+2+x+4+x+6=160$

$4x+12=160$

$4x=160-12$

$4x=148$

$x=\frac{148}{4}$

$=37$

$\therefore$ Largest odd integer is $37+6=43$.