# The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. The bigger and smaller number is what?

##### 2 Answers

**The bigger and smaller numbers are** **respectively.**

#### Explanation:

Let the bigger and smaller number be

By given conditions ,

multiplying the equation (2) by

Adding equations (1) and (3) we get,

equation (1) we get ,

The bigger and smaller numbers are

#### Explanation:

The sum of a number and two times a smaller number is 62

so

Three times the bigger number exceeds the smaller number by 116

substitute for

#y = 126/3 = 42