Question #7a137

2 Answers
Jan 23, 2018

The three numbers are 54, 324 and 154.

Explanation:

Call the first number 'n', then the second number is 6n and the third is n+100.

We know the total of the three numbers is n+6n+n+100=532.

Collecting like terms, 8n+100=532, then 8n=432, so n=432/8=54.

The second number is 6 times n, so 6xx54=324.

The third is n+100=154.

Jan 23, 2018

54, 154, & 324

Explanation:

To solve this, we'll call the first number x .
Using this variable, we can create equations for the remaining two equations.
The second number we'll call y. It is 6 times the first so
y=6x .
The third number we'll call z. It is 100 more than the first so
z=100 + x.
The sum of all three numbers is x+y+z=532.
Substituting in our equations we get x + (6x) + (100+x) = 532 which simplifies to 8x=432.
We get x=54, y=6(54)=324, and z=100+54=154.