Question

if hcf of two numbers 35 and 45 is 5 and lcm is 63×a find the value of a

Answer 1

HCF*LCM = product of both numbers.

5*63*a = 35*45

a = 35 * 45 / 5*63

a = 5

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Answer 2

let a and b are numbers, then

a×b=LCM×HCF= 630×9

GIVEN

a+b=153

Now

(a-b)^2= (a+b)^2 -4ab= 153^2–4×630×9=729

So,

(a-b)= √729=27

So the difference is 27