Ratio
posted by Camile on .
Three numbers are in the ratio of 3:5:7. If the largest number is multiplied by 3, the result is 26 more than the sum of the first and second numbers. Find the numbers.

16:10:24

let the numbers are 3x,5x,7x
given: largest no. is multiplied by 3
that is 7x * 3. And the result of this multiplication = 26+3x+5x.
so the equation is :
7x * 3 = 26+3x+5x
=>21x=8x+26
=>13x=26
=>x=2
so, the given numbers are 6,10,14
now you can verify:
14*3=26+6+10 
tow number are in the ratio 3:7 and sum of the number is 810. find the largest number