Question

The sum of two numbers is 15. One number is 3 less than the other number. find the smaller number.
Please show work

A) 6
B) 7
C) 9
D) 10

Answer 1

Answer:

The two numbers are 6 and 9.  So the smaller number is 6.

Step-by-step explanation:

Let one of the numbers be x.  So, the other is x + 3.

x + x + 3 = 15

2x = 12

x = 6

Answer 2

The value of the smaller number obtained by creating a system of equation for the problem is 6

Creating a system of equation for the scenario :

Let : smaller number = y ; larger number = x

x + y = 15 ----(1)

x = y - 3 - - - - - (2)

Substitute (2) into (1)

y - 3 + y = 15

2y - 3 = 15

2y = 15 + 3

2y = 18

y = 18 ÷ 3

y = 6

Therefore, the value of the smaller number is 6

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