Question

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

Answer 1

Explanation:

Let, 1st number be x and 2nd number be y

Then,

equation 1

x = 16+y

equation 2

x + y = 120

or, y = 120 - x

now,

x = 16 + y

or, x= 16 + 120 - x (putting the value of y from equation 2 )

or, x + x = 136

or, 2x =136

or, x= 136/2

or, x =68

Then,

y = 120-x

or, y= 120- 68 (putting the value of x)

or, y= 52

Hence, the two numbers are 68 and 52.