Question

Two consecutive integers have a sum of 61 . Find the integers.

Answer 1

The integers are, 30 and 31

Explanation:

Given the statement: Two consecutive integers have a sum of 61 .

Let x and x+ 1 are the two consecutive integers.

then;

as per the given condition we have;

`x +(x+1) = 61`

Combine like terms;

`2x+1 = 61`

Subtract 1 from both sides ;

`2x + 1-1 = 61 -1`

Simplify:

2x = 60

Divide both sides by 2 we get;

x = 30

and

value of x+1 = 30+1 = 31

Therefore, the integers are, 30 and 31.