Question

the ration of two numbers is 5:7 and Their LCM is 350. find the smallest number?

Answer 1

Let the two numbers be 5x and 7x 
we know that
LCM= x*5*7
        =x*35
also, LCM=350 
Therefore, x*35=350
                   x=10
Hence the smallest number is 5*10=50

Answer 2

The value of the smallest number is 50.

Given:

The ratio of two numbers is 5:7.

Their LCM is 350.

To Find:

The value of the smallest number.

Solution:

We are required to find the value of the smallest number.

It is given that the ratio of two numbers is 5:7.

Let us consider the two numbers as 5x and 7x.

5x = 5×x

7x = 7×x

L.C.M = 5×7×x   ------(1)

L.C.M = 350

On substituting the values of L.C.M in equation(1) we get

350 = 5×7×x

35x = 350

x = 350/35

x = 10

To get the smallest number substitute the values of x in 5x.

Smallest number = 5x

Smallest number = 5×10

Smallest number = 50

Therefore, The value of the smallest number is 50.

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