Question

The ratio of three numbers is 3 : 5 : 9. if the difference of the biggest and the smallest number is 420, what is the sum of the three numbers

Answer 1

Answer:

Let the numbers be 3x,5x and 9x

So,

The biggest number will be 9x and smallest will be 3x.

9x-3x=420

6x=420

x=420/6=70

So the numbers will be=

3x=3×70=210

5x=5×70=350

9x=9×70=630

So the sum will be

210+350+630=1190.

Answer 2

Step-by-step explanation:

Let the ratio be 3x : 5x : 9x

Difference b/w biggest no. and smallest no. = 420

9x - 3x = 420

6x = 420

x = 420/6

x = 70

Now,

1st no. = 3x = 3×70 = 210

2nd no. = 5x = 5×70 = 350

3rd no. = 9x = 9× 70 = 630

Total sum = 210 + 350 + 630

= 1190 Ans...