The L.C.M of two numbers is 560 and their ratio is 4:5. Find the two numbers158,120130, 158102140,168112,140

Question

The L.C.M of two numbers is 560 and their ratio is 4:5. Find the two numbers158,120130, 158102140,168112,140
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Solution 1

To find the two numbers, we first need to find the H.C.F (Highest Common Factor). We know that the product of two numbers is equal to the product of their L.C.M and H.C.F.

Let's denote the two numbers as 4x and 5x (since their ratio is 4:5). So, the product of the two numbers is 4x * 5x = 20x^2.

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