The Least Common Multiple and Highest Common Factor of two numbers are 75 and 5 respectively. If their difference is 10, then what will be the sum of these two numbers?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 40.
| Understanding/Application |
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L.C.M = 75 H.C.F = 5 Difference between L.C.M and H.C.F = 10 Product of two number = Product of L.C.M and H.C.F Let the two numbers be a and b. (a + b)2 = (a - b)2 + 4ab |
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ab = 75(5) = 375 a - b = 10 (a + b)2 = (a - b)2 + 4ab (a + b)2 = 102 + 4(375) = 1600 a + b = 40 |