Question

The greatest number which divides 875and 720 exactly.Does it also divide the sum and difference also

Answer 1

$Hope \: my \: answer \: helps.$

Answer 2

So, first we will take out the HCF of 875 & 720

HCF :-

720 : 2*2*2*2*3*3*5

875 : 5*5*5*7

HCF = 5*5 = 25

So, 25 will divide 875 & 720 .

Now we'll check for it's sum and diffrence.

875-720 = 155

875+720= 1595

155 / 25 = 6.2 so it will not divide it

1595/25 = 63.8 same here

Therefore it will divide the digits but not there sum and difference