Question

L.C.M. of two numbers is 15 times of their H.C.E. Addition of H.C.F. and L.C.M. is 240 and first number is 75, then find the second number.​

Answer 1

Answer:

GIVEN: HCF+LCM= 600, ONE NUMBER= 280

Let the HCF= X

LCM= 14X

HCF+LCM= 600

X+ 14X=600

15X= 600

X= 600/15

X= 40

HCF= 40

LCM = 14X= 14× 40= 560

HCF×LCM= 1ST NUMBER × 2ND NUMBER

40× 560= 280× 2ND NUMBER

2ND NUMBER= (40×560) /280

2ND NUMBER= 40×2

2ND NUMBER= 80

Hope this will help you....

Step-by-step explanation: