Question

One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 779, find the numbers.

Answer 1

97, 485 and 197

Explanation:

x - the first number

One number is 5 times a first number:

5x - "one" number (the second number)

A third number is 100 more than the first number:

x + 100 - the third number

x + 5x + x+100 - the sum of the three numbers

x + 5x + x+100 = 779

-100 -100

7x = 679

÷7 ÷7

x = 97

5x = 5•97 = 485

x+100 = 97 + 100 = 197

Check:

97 + 485 + 197 = 779