The LCM of two positive nos is 168 and their product is 504.
what is the difference in their squares?
A. 175 B.216 C.9 D.135
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Answer / aashima
Hi All,
The ans of this question 135.
504=2*2*2*3*3*7=8*3*3*7=24*21
168=2*2*2*3*7
it means 3 will come in both the numbers as 3 is coming
once in LCM but coming as 9 in product.
so possible numbers are 24 and 21.
so diff of products is 24*24-21*21=135
Is This Answer Correct ? | 65 Yes | 3 No |
Answer / prasun bose
let the numbers be a and b
so by question---ab=504 the product
and LCM= ab/common factor=168
so common factor=ab/168 =504/168 =3
factors of LCM 168=2,2,2,3,7
so taking 3 on both side,we have
2,2,2and3 is one nunber and the other is
3,and 7 . so the numbers are 24 and 21
now the difference of the square of these nunbers
is a2-b2=(a+b)(a-b)=(24+21)(24-21)=45(3)=135
thus the answer is D
Is This Answer Correct ? | 30 Yes | 1 No |
Answer / harsha
LCM * HCF=product of 2 numbers(a*b)
168*HCF=504
HCF will be 3.
therefore 504 is product of 2 numbers which are multiples of 3..
find out those 2 numbers which are multiples of 3 and their product is 504.
504=2*2*2*3*3*7.=(8*3)*(3*7)
504=24*21...i.e., a=24 ,b =21
difference between products=(24*24)-(21*21)=576-441=135.
Is This Answer Correct ? | 2 Yes | 0 No |
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