Question

Two numbers are in the ratio 4:5 and their differences is 12. Find the number

Answer 1

Answer:

The required two numbers are 48 & 60.

Step-by-step-explanation:

We have given that,

The ratio of the two numbers is 4 : 5.

Let the common multiple be x.

∴ Greater number = 5x

Smaller number = 4x

From the given condition,

Greater number - Smaller number = 12

⇒ 5x - 4x = 12

⇒ x = 12

Now,

Greater number = 5x

⇒ Greater number = 5 * 12

⇒ Greater number = 60

Now,

Smaller number = 4x

⇒ Smaller number = 4 * 12

⇒ Smaller number = 48

∴ The required two numbers are 48 & 60.

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Steps to solve such problems:

1. Understand the given statements in the problem.

2. If the ratio between two quantities is given, assume a variable ( x, y, z, etc. ) as a common multiple.

3. Multiplying the ratio of the respective quantity with assumed common multiple, we get that quantity in terms of a variable.

4. From the given conditions in the problem, form word equation.

5. Use the proper variable quantities formed in step 3 to write equation with variable.

6. Solve the formed equation in one variable.

7. Use the value of variable to calculate the required quantities.

8. Write the answer in sentence for what it is asked in the problem.

Answer 2

Answer:

Numbers are 48 & 60

Step-by-step explanation:

Given :-

Two numbers are in the ratio 4:5 and their differences is 12.

To Find :-

Numbers

Solution :-

Let

First number = 4x

Second number = 5x

Given, difference is 12

5x - 4x = 12

x = 12

Numbers are

5x = 5(12) = 60

4x = 4(12) = 48