Question

10) One-fifth the sum of 2 consecutive integers is 29 less than the larger of the 2 consecutive integers. Find the

smaller of the 2 consecutive integers.
Hi, im studying for a test and needed help with this question, thanks to anyone who does.​

Answer 1

47

Explanation:

Let the smaller integer be n and the consecutive integer be n+1.

According to the question,

(n+n+1)/5 + 29=n+1

or,(2n+1)/5 + 29=n+1

or,2n+1+145=5n+5

or,3n=141

or,n=47

and n+1=48

So, the smaller of the two integer is 47