Question

The sum of two numbers is 66. Two times the lesser number is 15 more than the greater number. What are the numbers


If x is a lesser number, the equation is

Answer 1

Answer:

See below!

Step-by-step explanation:

Let the two numbers be x and y

Condition # 1:

x + y = 66 ----------------(1)

Condition # 2:

2x = y + 15

2x - y = 15 ---------------(2)

Add both equations

x + y + 2x - y = 66 + 15

x + 2x = 66 + 15

3x = 81

Divide both sides by 3

x = 27

Put x = 27 in Eq. 1

27 + y = 66

Subtract 27 to both sides

y = 66 - 27

y = 39

$\rule[225]{225}{2}$