Question
The sum and difference of the Least Common Multiple (L.C.
- F of two numbers are 216 and 184, respectively. One of the numbers is 25. Find the other number.
- M and Highest Common Factor (H.C.
Solution
Let the L.C.M and the H.C.F of the two numbers be 'a' and 'b' respectively Then, (a + b) = 216 And (a - b) = 184 So, (a + b) + (a - b) = 216 +184 Or, a = 400 ÷ 2 = 200 So, b = 216 - 200 = 16 The product of two numbers is equal to the product of their L.C.M and H.C.F So, required number = (200 X 16) ÷ 25 = 128
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