3 numbers are in the ratio 3:5:7. if the larger number is multiplied by 3, the result is 26 more then the sum of the first and second numbers. Use an algebric solution to find the numbers

Answer 1

Let the largest number be 7x.
(x will have to be an integer; otherwise the three numbers cannot be integers)
The sum of the first and second numbers is then 8x.

7x * 3 = 21x = 8x + 26
13x = 26
x = 2

The three numbers are 6,10, and 14.