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The sum of two numbers is 45. Their difference is 1/9 of their sum. Their L.C.M. is
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- 200
- 250
- 100
- 150
Correct Option: C
Let the number be p and q.
According to the question,
∴ p + q = 45 ......... (i)
| Again, p – q = | (p + q) | 9 |
| or p – q = | × 45 | 9 |
or p – q = 5 ..... (ii)
By (i) + (ii) we have,
p + q = 45
| = 50 | 2p |
or, p = 25
∴ q = 45 – 25 = 20.
Now, LCM of 25 and 20 = 100.
