Question

Of the three consecutive natural numbers, five times the smallest number is 9 more than four times the greatest number, find the numbers.

• A. 17, 18, 19
• B. 16, 17, 18
• C. 18, 19, 20
• D. 21, 22, 23

Answer 1

The correct option is A 17, 18, 19

Let consecutive Number $=x,x+1,x+2$
Greatest is $=x+2$
Smallest $=x$
Middle $=x+1$

$5x=4(x+2)+9$
$\Rightarrow 5x=4x+8+9$
$\Rightarrow 5x-4x=8+9$
$\Rightarrow x=17$
Smallest $=17$
Now consecutive numbers $=17,18,19.$