Question

the HCF of two numbers is 2 and their LCM is 154. If the difference between the two numbers is 8 then the sum is​

Answer 1

Step-by-step explanation:

LCM=154,HCF=2

WE KNOW

Product of two numbers =LCM × HCF

So,154 × 2=x × y

x - y=8 (given)

y(8+y)=308

y² + 8y −308 = 0

y² +22y −14y − 308 = 0

(y+22)(y−14)=0

so, y = 14 (neɡlect y=−22)

x=22

x+y=22+14=36

Answer 2

Answer:

LCM=154,HCF=2

WE KNOW

Product of two numbers =LCM × HCF

So,154 × 2=x × y

x - y=8 (given)

y(8+y)=308

y² + 8y −308 = 0

y² +22y −14y − 308 = 0

(y+22)(y−14)=0

so, y = 14 (neɡlect y=−22)

x=22

x+y=22+14=36