Question

If two numbers are in the ratio 7:9 and their sum is 144, then the smallest number is

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Answer 1

Answer:

7:9

7x+9x=144

16x=144

x=9

so, 7×9< />

63< />

63 is smaller number

Answer 2

Given,

The ratio of two numbers = 7:9

The sum of the two numbers equals 144.

To determine,

The smaller number among the two numbers

Solution,

The smaller number among the two numbers is 63.

We may easily answer the mathematical issue by following the steps below.

Let the two numbers be x and y.

We know that,

$\frac{x}{y} = \frac{7}{9}$

x + y = 144

Now,

⇒ 9x = 7y  (Equation 1)

⇒ x + y = 144  (Equation 2)

Substituting equation 1 in equation 2;

⇒ $\frac{7}{9} y$ + y = 144

⇒ $\frac{16}{9} y = 144$

⇒ y = $\frac{144*9}{16}$

       = 81

In accordance with the equation 2;

⇒ x = 144 - 81

      = 63

As a result, the smaller of the two figures is 63.