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Aptitude · Q122

Problems On H.C.F And L.C.M

Competitive Exams · Aptitude · question 122

Q122

The sum of two numbers is 45. Their difference is 1/9 of their sum. Their LCM is = ?

The sum of two numbers is 45. Their difference is of their sum. Their LCM is = ?
A.
100
Answer
B.
150
C.
200
D.
250

Answer: Option A

Solution

Answer: Option A
Solution:
Let the two numbers be a and b
Then, a + b = 45.......(i)
And a - b = 5......(ii)
Adding (i) and (ii) we get 2a = 50 or a = 25
Putting a = 25 in (i) we get b = 20

 5   20   -   25 
    4   -   5 

LCM = 5 × 4 × 5 = 100