The sum of two numbers is 45. the smaller number is 15 less than the larger number. what is the number

Mathematics · Middle School · Thu Feb 04 2021

Answered on

Given the numerical statement:

The sum of two numbers is 45. the smaller number is 15 less than the larger number.

Determine the number.

Solution:

The given can be represented as,

Let x = larger number

x - 15 = smaller number

Equate the representation in an equation, whereas the sum is 45, therefore we separate the two representation with a plus sign.

( x ) + ( x - 15) = 45

Solve for x.

x + x - 15 = 45

2x - 15 = 45

2x = 45 + 15

2x = 60

Divide both sides by 2 in order to determine the value of x.

2x/2 = 60/2

x = 30

Final answer:

x =30