the larger of two numbers is 12 less than five times the smaller number. the sum of the two numbers is 90. find the two numbers.

Question

the larger of two numbers is 12 less than five times the smaller number. the sum of the two numbers is 90. find the two numbers.

Answer 1

Hi Nate,

 

Let smaller number be x, 

     larger number would be 5x-12.

 

Sumof two numbers = 90

 

x + 5x-12 = 90

 

6x-12=90

6x=90+12

6x=102

x=102/6 = 17

smaller number =17

larger number= 5x-12= 5(17)-12= 85-12=73