Question

The sum of three consecutive integers is 60. What are the three integers

Answer 1

$\huge{\bold{\underline{\underline{Question:-}}}}$

The sum of three consecutive integers is 60. What are the three integers.

$\huge{\bold{\underline{\underline{Solution:-}}}}$

Let the Integers be = 'x' , 'x+1' , 'x+2'

A.T.Q.

x + x + 1 + x + 2 = 60

3x + 3 = 60

3x = 60-3

3x = 57

x = 57/3

x = 19

So, the numbers are as follows :-

x = 19

x = 19x + 1 = 19 + 1 = 20

x = 19x + 1 = 19 + 1 = 20x + 2 = 19 + 2 = 21

Verification :-

x + x + 1 + x + 2 = 60

19 + 20 + 21 = 60

39 + 21 = 60

60 = 60

Since, L.H.S. = R.H.S.

Hence proved