the hcf and lcm of two numbers are 24 and 5544 respectively. when the first number is divided by 2, the quotient is 252 leaving no remainder. find the other number
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24
frst number 252×2=504
2nd number= (24×5544)/ 504
=264
Answered by
1
Answer:
504 and 264.
Given:
- HCF = 24
- LCM = 5544
- when the first number is divided by 2, the quotient is 252 leaving no remainder.
To Find:
Find the numbers.
Step-by-step explanation:
First find one number,
it is given that,
when the first number is divided by 2, the quotient is 252 leaving no remainder.
let the number be x.
So,
x/2 = 252
x = 504
Then find another number.
let another number be y.
We know that,
HCF × LCM = product of numbers
24 × 5544 = x × y
24 × 5544 = 504 × y
24 × 5544/504
11 × 2 = y
y = 264
Hence, numbers are 504 and 264.
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