Question

The sum of three consecutive odd numbers is $38$ more than the average of these numbers. What is the first number

• A. $13$
• B. $17$
• C. $19$
• D. Data inadequate
• E. None of these

Answer 1

The correct option is B $17$

let ${}^{\prime }{a}^{\prime }$ be the first odd number

As per Question

$a+a+2+a+4=38+\frac{a+a+2+a+4}{3}$

$\Rightarrow 3a+6=38+a+2$

$\Rightarrow 2a=34$

$\Rightarrow a=17$