The L.C.M. of two numbers is 140. If their ratio is 2:5, then the numbers are:

To find the two numbers, we first need to understand that the L.C.M (Least Common Multiple) of two numbers is the product of the two numbers divided by their G.C.D (Greatest Common Divisor).

In this case, we know that the L.C.M is 140 and the ratio of the two numbers is 2:5. This means that the two numbers can be represented as 2x and 5x, where x is a common factor.

Since the two numbers are in the ratio 2:5, their G.C.D will be the same as the common factor, x.

So, we can write the formula for L.C.M as follows:

L.C.M = (2x * 5x) / x

We know that the L.C.M is 140, so we can substitute this into the formula:

140 = (2x * 5x) / x

Solving this equation for x gives x = 14.

Substituting x = 14 back into the expressions for the two numbers gives the two numbers as 214 = 28 and 514 = 70.

So, the two numbers are 28 and 70.