The sum of two numbers is 113.

Question

The sum of two numbers is 113. four times the smaller number subtracted from the larger number the result is three. find the two numbers.

Answer 1

Hi Charlene, let x represent the larger number, and y represent the smaller number. Set up a system of equations and solve.

 

Equation 1, sum of the two numbers:

 

x + y = 113

 

Equation 2, larger number minus smaller number:

 

x - 4y = 3

 

System:

 

x  +  y  = 113

x  -  4y =     3

----------------

 

Multiply the second equation by -1 and add:

 

 x  +   y = 113

-x  + 4y =   -3

-----------------

 

5y = 110

 

y = 22

 

From first equation:

 

x  +  22 = 113

 

x = 91

 

The larger number is 91 and the smaller number is 22.

 

Questions?