Question

the sum of two numbers is 384 and HCF is 48 one may be the two possible numbers let's find​

Answer 1

Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288. Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF).

Answer 2

GiveN :

• Sum of numbers is 384
• HCF of numbers is 48

To FinD :

• Two possible numbers

Solution :

Let one number be x and another be y

If HCF and sum of numbers is 48 and 348 respectively. So, we can say that :

$\rightarrow \sf{48x \: + \: 48y \: = \: 384} \\ \\ \rightarrow \sf{48(x \: + \: y) \: = \: 384} \\ \\ \rightarrow \sf{x \: + \: y \: = \: \dfrac{384}{48}} \\ \\ \rightarrow \sf{x \: + \: y \: = \: 8}$

• So, sum of numbers is 8

And, we know that after the HCF, The two numbers are co-prime.

So, the possible values of the numbers whose sum is 8 are :

• (7,1) or (3,4)

$\rule{200}{2}$

• HCF stands for Highest Common Factor and And also called GCF Greatest Common Factor. The largest common factor of two or more numbers is called as HCF of numbers.