Question

the average of two numbers is 34. The second number is three times the first number. What are the two numbers?

Answer 1

Hey!To solve this problem, we need to set up two equations and use the system of equations to solve.

Let x be the first number.
Let y be the second number.

(x + y) ÷ 2 = 34
x = 3y

Now, we can use substitution to solve.

(3y + y) ÷ 2 = 34
4y ÷ 2 = 34
2y = 34
y = 17

Now, you plug the value of y in the equation to solve for x.

x = 3*17
x = 51
hope this helps!!

Answer 2

(x + y)/2 = 34 multiply by 2
x + y = 68                               (1)
3x = y                                     (2)
Put 3x in for y in equation 1
x + 3x = 68
4x = 68
x = 17

One of the numbers is 17
The other one is 51