Question

d) Find two numbers whose sum is 100 and whose ratio is 16:9​

Answer 1

Answer:

The sum of ratios is 25.

1st number=16/25×100

=16×4

=64

2nd number=9/25×100

=9×4

=36

Therefore, the two numbers are 64 and 36.

Answer 2

Given:

Two numbers are in the ratio 16:9. The sum of the two numbers is 100.

To Find:

The two numbers are?

Solution:

The given problem can be solved by using simple algebra.

1. The ratio of the two numbers is 16:9.

2. Let the two numbers be 16x and 9x respectively.

3. The sum of the two numbers is equal to 100. Hence, the algebraic equation is,

=> 16x + 9x = 100,

=> 25x = 100,

=> x = 100/25,

=> x = 4.

4. The value of the two numbers are:

=> 16x = 16(4) = 64,

=> 9x = 9(4) = 36.

Therefore, the two numbers are 64 and 36.