Question

One number is 16 more than another number. The two numbers have a sum of 120. Which system of equations could you use to find the two numbers?

A)y=x – 16
y=x + 120
B)y=x + 16
y = x + 120
C)y=x - 16
y=x – 120
D)y= x - 16
y = -x + 120​

Answer 1

Answer: D)y= x - 16

y = -x + 120​

Explanation:

Let the two numbers be x and y

such that if one number is x , the other number y

Let x be the number which is 16 more than another number , so that it can be expressed as

x= y+16 which can also be written as

y= x - 16

Also, if the two numbers have a sum of 120, then it can be represented as

x+y=120 or

y = -x + 120​

Therefore system of equations to find the two numbers are

D)y= x - 16

y = -x + 120​