Question

Sum of two different numbers is 135 and their G.C.D is 15.Then how many such pairs are possible?

Answer 1

 GCD (Greatest Common Divisor)  of two numbers is the largest number that divides both of them.

SUM OF TWO NUMBERS i.e X AND Y IS 135

SO X+Y=135

 BECAUSE THEIR G.C.D IS 15

LET US ASSUME IF X=15

NOW 15+Y= 135

Y=135-15=120.SO ONE PAIR IS 15,120

IF X=30

Y=135-30=105 SO ANOTHER PAIR IS 30,105.

IF X=45

Y=135-45=90 SO ANOTHER PAIR IS 45, 90.

IF X=60

Y=135-60=75 SO ANOTHER PAIR IS 60,75