The greater of two numbers is 8 more than 5 times the smaller. Their sum is 68. Find the numbers.

Question

I really need help on this aspa so please hurry if you can

Answer 1

x = the first number

y = the second number

Let's say y is the greater number and x is the smaller number.

y = 5x + 8 "greater of two numbers is 8 more than 5 times the smaller"

x + y = 68 This is given. The sum of these two numbers is 68.

x + 5x + 8 = 68 Substitute y = 5x + 8 into the second equation.

6x + 8 = 68

6x = 60

x = 10

y = 5(10) + 8

y = 58

The numbers are 10 and 58.