Question

# Find three consecutive positive even integers whose sum is 90.(a) 28, 30 and 32 (b) 28, 30 and 37(c) 28, 98 and 32 (d) 40, 30 and 32

Hint: Even integers are integers which are divisible by 2. For example: -2, -4, -6, 0, 2, 4, 6. The form of even integers are 2n, 2n+2, 2n+4 and so on. These are divisible by 2.

\begin{align} & \therefore 2n+(2n+2)+(2n+4)=90 \\ & \therefore 6n+6=90 \\ & \therefore 6n=84 \\ & \therefore n=14 \\ \end{align}
\begin{align} & 2n=2\times 14=28 \\ & 2n+2=28+2=30 \\ & 2n+4=28+4=32 \\ \end{align}