# 01 - Problems involving sum of two numbers

**Problem 1**

The sum of two numbers is 120. If the greater number is four times the less, what are the numbers?

**Solution 1**

Let

4

*x*= the less number4

*x*= the greater numberThe sum of two numbers is 120

$x + 4x = 120$

$5x = 120$

$x = 24$

$4x = 96$

The numbers are 24 and 96 *answer*

**Problem 2**

The greater of two numbers is twice the less, and the sum of the numbers is 96. What are the numbers?

**Solution 2**

Let

2

*x*= the less number2

*x*= the greater numberThe sum of the numbers is 96

$x + 2x = 96$

$3x = 96$

$x = 32$

$2x = 64$

The numbers are 32 and 64 *answer*

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