Question

The sum of two numbers is 24. One is 6 less than twice the other. Find the two numbers.

Answer 1

Answer:

$\huge\boxed{\sf x = 14 , y = 10}$

Step-by-step explanation:

Let the two numbers be x and y

Condition # 1:

x + y = 24  ---------------------(1)

Condition # 2:

x = 2y - 6  ----------------------(2)

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

Putting Equation # 2 in Equation # 1

2y - 6 + y = 24

3y - 6 = 24

Adding 6 to both sides

3y = 24 + 6

3y = 30

Dividing both sides by 3

y = 10

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

Putting y = 10 in Equation # 2

x = 2y - 6

x = 2(10) - 6

x = 20 - 6

x = 14

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