Question

The smallest plus three times the largest of three consecutive integers is three less than five times the middle integers. Find the smallest of the integers.

Answer 1

The smallest integer is 1 and middle integer is 2 and largest integer is 3

Solution:

Given that , three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.

We have to find the three consecutive integers

So, let the smallest integer be n, then the next two consecutive middle and largest integers will be n + 1, n + 2 respectively

Then, by the given statement,  

Three times the largest increased by two is equal to five times the smallest increased by three times the middle integer.

Thus the smallest integer = n = 1

Middle integer = n + 1 = 1 + 1 = 2

Largest integer = n + 2 = 1 + 2 = 3