Question

Ratio between 2 numbers is 5 : 7 and their product is 560.what is the difference between 2 numbers?

Answer 1

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Answer 2

Given:

The ratio of the two numbers=5:7

Product of two numbers=560

To find:

The difference between the two numbers

Solution:

The difference between the two numbers is +-8.

We can find the difference by following the steps given below-

We know that the ratio of two numbers is 5:7.

Let the two numbers be 5x and 7x.

Now, we know that the product of the two numbers is 560.

So, the product of two numbers=560

5x×7x=560

35x²=560

x²=560/35

x²=16

x=+-4

The two numbers can be obtained by substituting the values of x.

When the value of x is +4,

5x=5×4=20

7x=7×4=28

When the value of x is -4,

5x=5×(-4)= -20

7x=7×(-4)= -28

The difference between the two numbers=7x-5x=2x

So, when x=4, 2x=2×4=8

When x= -4, 2x=2×(-4)= -8

Therefore, the difference between the two numbers is +-8.