Question

The sum of two numbers is 67. The larger number is 19 more than the smaller number. What are the numbers

Answer 1

Answer:

32 and 35

Step-by-step explanation:

I am going to use x for the smaller number and y for the larger one.

The sum of both these numbers is 67, so the equation should be:x+y=67

Since the smaller number is three less than the larger number, that means 3 has to be added to the smaller number to make it equal in size to the larger number.

x+3=y

To solve the equation, simply plug in 

x+3 for the y variable in the first equation.x+x+3=67→ Rewrite the first equation2x=64→ 

Subtract 3 from each side, combine like termsx=32→ 

Divide each side by 2The smaller number is 32, so we plug that in to the second equation to find the larger number.

32+3=yy=35

The two numbers are 32 and 35