the HCF and LCM of two numbers are 33 and 264 respectively.when the first number is divided by 2 the quotient is 33.what is the other number?
Answer
THE ANSWER GIVEN BY THE EXPERT IS 132,BUT THE ANSWER IN MY GUIDE IS 130.....PLZZZ....WHICH IS THE RIGHT 1...??
Answers
Given :
HCF = 33
LCM = 264
When the first number completely divided by 2, the quotient is 33
To Find :
The other number
Solution:
let the first number is x
=> X/2 = 33
=> X = 33 x 2
=> X = 66
The first number is 66
Product of two numbers = HCF x LCM
=> one number is 66.
let the second number is y.
=> 66 * y = 33 x 264
=> 66y = 8712
=> y = 8712 ÷ 66
=> y = 132.
Hence, The other number is 132.
Verify:
Product of two numbers = HCF x LCM
=> 66 x 132 = 33 x 264
=> 8712 = 8712
Hence, verified. 132 is the correct answer.
Note: Sometimes, textbook answers may get printed wrong so it is better to check verification.
Given :-
- HCF = 33
- LCM = 264
- When the first number completely divided by 2, the quotient is 33
To Find :-
- The other number
Solution:-
let the first number is x
=> X/2 = 33
=> X = 33 x 2
=> X = 66
The first number is 66
Product of two numbers = HCF x LCM
=> one number is 66.
let the second number is y.
=> 66 * y = 33 x 264
=> 66y = 8712
=> y = 8712 ÷ 66
=> y = 132.
Hence, The other number is 132.
Verify:-
Product of two numbers = HCF x LCM
=> 66 x 132 = 33 x 264
=> 8712 = 8712
Hence, verified. 132 is the correct answer.