The sum of two numbers is 45. Their difference is $$\frac{1}{9}$$ of their sum. Their LCM is = ?
A. 100
B. 150
C. 200
D. 250
Answer: Option A
Solution(By Examveda Team)
Let the two numbers be a and bThen, 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
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