Question

two numbers are in the ratio 5:6 if the sum of the numbers is 132,find the two numbers​

Answer 1

Answer:

60 and 72

Step-by-step explanation:

Let the numbers be 5x and 6x

5x + 6x = 132

11x = 132

Therefore, x = 12

Hence the numbers are:

5 x 12 = 60 and 6 x 12 = 72

Answer 2

The numbers are 60 and 72.

Given:

• Ratio of two numbers is 5:6.
• Sum of numbers is 132.

To find:

• Find the numbers.

Solution:

Formula/Concept to be used:

Ratio of any two quantities are written after removing the common factors of both terms.

Step 1:

Let the common factor of both numbers be x.

So,

One number will be 5x and other will be 6x.

Step 2:

Form the equation.

As sum of both numbers is 132.

So,

$5x + 6x = 132$

or

$11x = 132$

or

$x = \frac{132}{11}$

or

$\bf \red{x = 12}$

Step 3:

Find the numbers.

Multiply the common factor with the ratio.

One number is : 5×12= 60

and other number is : 6×12= 72.

Thus,

The numbers are 60 and 72.

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