Question

The larger of two numbers is equal to three times the smaller number. The smaller number is equal to the larger number decreased by 30. Find the numbers.

Answer 1

Step-by-step explanation:

The larger of two numbers is equal to 3 times the smaller number plus 7. Also, twice the larger number plus 5 times the smaller is equal to 69. What are the numbers?

a=3b+7

2a+5b=69

2(3b+7)+5b=69

11b+14−14=69−14

11b11=5511

b=5

a=3(5)+7

a=22

Proof:

(2×22)+(5×5)=69

44+25=69

The two numbers are 22, and 5.

Answer 2

Answer:

smallest number = 5 larger number = 22

Step-by-step explanation: