Aptitude - Problems on H.C.F and L.C.M - Discussion
Discussion Forum : Problems on H.C.F and L.C.M - General Questions (Q.No. 2)
2.
The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Answer: Option
Explanation:
Clearly, the numbers are (23 x 13) and (23 x 14).
Larger number = (23 x 14) = 322.
Discussion:
153 comments Page 2 of 16.
Anoop said:
1 decade ago
Let first number = 23 *a and second number = 23 * b where a and b are the products of the uncommon factors and they will be different numbers.
lcm=23*13*14
that means 23*a*__=23*b*__ = 23 * 13 * 14
a*__ = 13*14
b*__ = 13*14
a and b are two different numbers
so either a=14 & b=13
or a=13 and b = 14
so the numbers are 23*13 and 23 *14
lcm=23*13*14
that means 23*a*__=23*b*__ = 23 * 13 * 14
a*__ = 13*14
b*__ = 13*14
a and b are two different numbers
so either a=14 & b=13
or a=13 and b = 14
so the numbers are 23*13 and 23 *14
Parvez said:
1 decade ago
Ya I understand but I'm not fully satisfied to this method.
Please give me suggestion.
Please give me suggestion.
#@Dev# said:
1 decade ago
13 and 14 are two factors doesn't mean that 13 belongs to one no. and 14 belongs to another one
It may be like 26 belongs to greater no and 7 belongs to lower one.
It may be like 26 belongs to greater no and 7 belongs to lower one.
Nitish said:
1 decade ago
Chiya has given the right answer.
Neha said:
1 decade ago
@chiya. Why is 23 multiplied twice? Please explain?
Shakti said:
1 decade ago
@Chiya thanks for the solution.....
Hi_all said:
1 decade ago
@Chiya thanq :-*
Eshant said:
1 decade ago
I still didn't understnad the concept behind ths solution. Is their any easy method to solve these types of stuffs?
Lalitha said:
1 decade ago
What chiya said is totally wrong
(H.C.F)*(L.C.M)=a*b this is right but
Chiya said: (Fri, Apr 22, 2011 02:18:39 AM)
HCF*LCM=a*b
23*(13*14)=a*b
(23*13)*(23*14)=a*b
a=23*13
b=23*14
Therefore b = 23*14 is the greatest.
23*(13*14)=a*b
(23*13)*(23*14)=a*b This is wrong.
Answer is right but logic is wrong. Anybody explain it clearly ?
(H.C.F)*(L.C.M)=a*b this is right but
Chiya said: (Fri, Apr 22, 2011 02:18:39 AM)
HCF*LCM=a*b
23*(13*14)=a*b
(23*13)*(23*14)=a*b
a=23*13
b=23*14
Therefore b = 23*14 is the greatest.
23*(13*14)=a*b
(23*13)*(23*14)=a*b This is wrong.
Answer is right but logic is wrong. Anybody explain it clearly ?
Vivek said:
1 decade ago
I have an idea that HCF+LCM=a*b
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