Question

if two numbers are in the ratio of 5:8 and if 9 be add to each, the ratio becomes 8:11.the lower number is
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Answer 1

Answer:

The lower number is 15.

Step-by-step explanation:

The given ratio of the two numbers is 5:8

We know that ratio is the simplified form of numbers.

Let the common number be 'x'

Then the numbers are 5x and 8x

It is also given that if we add 9 to each of the numbers we get the ratio of 8:11 or we can tell the numbers are 8x and 11x. Then we can form an equation from the given.

    5x + 9 = 8x    or      8x + 9 = 11x

    8x - 5x = 9            11x - 8x = 9

       3x = 9                      3x = 9

        x = 9 ÷ 3                 x = 9 ÷ 3

          = 3                          = 3

 The common number is 3.

Hence the numbers are 5 × 3 = 15 and 8 × 3 = 24.

∴ The lower number is 15.