Question

Help please i wasnt there when we learned this.

the sum of three numbers is 102.the third number is 2 times the second. The first number is 10 more than the second. What are the numbers?

Answer 1

The first number, x, is equal to 33.

The second number, y, is equal to 23.

The third number, z, is equal to 46.

x + y + z = 102

z = 2y

x = 10 + y

Because we have values of x and z, we can plug them into the original equation to solve for y.

10 + y + y + 2y = 102

Combine like terms.

4y + 10 = 102

Subtract 10 from both sides.

4y = 92

Divide both sides by 4.

y = 23

Now that we have a value for y, we can find the value of x and z.

z = 2(23)

z = 46

x = 10 + 23

x = 33