Question

One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 215, find the numbers.

Answer 1

The first number is 23, the second number is 69, and the third number is 123.

Step-by-step explanation:

Let's define the first number as x.

The second number is 3 times the first number, so it would be 3x.

The third number is 100 more than the first number, so it would be x + 100.

The sum of the three numbers is 215, so we can write the equation: x + 3x + (x + 100) = 215.

Combining like terms, we get 5x + 100 = 215.

Subtracting 100 from both sides, we have 5x = 115.

Dividing both sides by 5, we get x = 23.

Therefore, the first number is 23, the second number is 3 times 23 which is 69, and the third number is 23 + 100 which is 123.

Answer 2

23, 69 and 123

Step-by-step explanation:

let the first number be x then the second number is 3x ( 3 times the first) and the third number is x + 100 ( 100 more than the first number)

The sum of the three numbers is

x + 3x + x + 100 = 215

5x + 100 = 215 ( subtract 100 from both sides )

5x = 115 ( divide both sides by 5 )

x = 23

The 3 numbers are

x = 23, 3x = 3 × 23 = 69 and x + 100 = 23 + 100 = 123