Question

The sum of three consecutive even natural number is $78$. Find the greater of these numbers.

Answer 1

Let the number be $x$.

Let the first even number be $2x$

Second number is $=2x+2$

Third number is $=2x+4$

$\therefore$ according to the question,

$\Rightarrow 2x+2x+2+2x+4=78$

$\Rightarrow 6x=72$

$\therefore x=\frac{72}{6}=12$

$\therefore$ First number $=2x=2\times 12=24$

Second number $=2x+2=2\times 12+2=26$

Third number$=2x+4=2\times 12+4=28$

Hence, the largest number is $28$