Question

the HCF of two numbers is 2 and their LCM is 154. if the difference between the number is 8, then the sum is ??​

Answer 1

Answer:

HCF=2

LCM=154

Let the numbers be a and b

a-b=8

a=8+b

We know that,

HCF×LCM=a×b

2×154=(8+b)×(b)

308=8b+b square

b square+8b-308=0

b square+22b-14b-308=0

b(b+22)-14(b+22)=0

(b+22)(b-14)=0

b=-22,14

Let us take a positive number which is 14

So,b=14

a=8+b

a=8+14

a=22

Sum=a+b=22+14=36

Step-by-step explanation: