Question

Solve the problem.

43) The sum of two numbers is 56. The second number is three times as large as the first number. What are the numbers?
A) 11,45
B) 14,42
C) 12,36
D) 12,44​

Answer 1

14,42

Explanation:

x + y = 56

x = 3y

Substitute for x in the first equation:

x + y = 56

x = 3y

3y + y = 56

Combine like terms:

4y = 56

Divide both sides by 4:

y = 14

So if y = 14, and x = 3y, then x = 42.

Now substitute for both x and y in both of the original equations to prove they are the correct values.

x + y = 56

x = 42

y = 4

42 + 14 = 56

56 = 56

x = 3y

x = 42

y = 14

42 = 3*14

42 = 42

I hope this helped. I am sorry if you get this wrong.