Question

the LCM of two numbers is 14 times their HCF. the sum of LCM and HCF is 600. if one number is 280, then find the other number

Answer 1

$\huge\mathbbmss\purple{HEYA USER}$

⭕LCM=14HCF....(1)

⚫SUM OF HCF ND LCM IS 600

↪HCF+LCM=600

using EQ 1...

⚫HCF +14HCF=600

⚫15HCF=600

⚫HCF=600/15

⚫HCF=40....(2)

USE EQ2 IN EQ1...

↪LCM=14 HCF

↪LCM=14*40

↪LCM=560

✔HCF=40

✔LCM=560

❌ NOW USING THE FORMULA....

HCF*LCM=PRODUCT OF TWO NUMBERS

LET SECOND NUMBER TO BE'X'

SO,

40*560=280*X

⚫40*560/280=X

⚫22400/280=X

⚫80=X

HENCE, SECOND NUMBER IS 80❗

HOPE IT MAY HELPS UH ❤✌

Answer 2

hope it helps u.

mark brainliest