Question

Find two consecutive whole numbers, such that $3$ times the first number plus $7$ times the second is $217$.

• A. $19$ and $32$
• B. $26$ and $40$
• C. $17$ and $33$
• D. $21$ and $22$

Answer 1

The correct option is D $21$ and $22$

Let the two consecutive nos be $x$ and $x+1$.

Given that $3$ times the first number plus $7$ times the second is $217$.

$3x+7(x+1)=217$

$\Rightarrow 10x=210$

$\Rightarrow x=21$

So, the numbers are $21,22$.