Question

The sum of three numbers is 210 and their product is 315000

Answer 1

Answer:

Step-by-step explanation:

You can write this as x(x+1)(x+2) = 210.

210 is divisible by 2 but not by 4 so the three number sequence must be:

odd, even, odd.

So we can rewrite our product as x((x+1)/2)(x+2) = 105

Try to factorise 105.

Since it ends in 5 it must be dividible by 5, giving 5 * 21.

Factorise 21 giving 7 * 3.

Re-arrange and the product is 5*3*7.

Since 3 = (X+1)/2 we arrive at the required sequence viz:  

5*6*7 = 210.

So the sum of the three numbers is 5+6+7 = 18

You don’t need anything more complicated than this.