Question

4. The sum of two numbers is 384 HCF of the number is 48 the
difference of the number is;
a)100
b)192
c)288
d)336​

Answer 1

Answer:

here,

384 = 48x + 48y

384 = 48(x + y)

384/48 = x + y

Hence, x+y=8

So, values of (x, y) = (1, 7) and (3, 5) only because they have to be co-primes.

Therefore , Possible numbers are: (48,336)

and (144,240).

Hence, The difference between the two numbers are:

288 and 96

I hope it clears