Question

The ratio of two numbers is 4:7. If the bigger number is 28, what is the smaller number?

Answer 1

Answer:

16 is the required smaller number.

Step-by-step explanation:

Explanation:

Given that, the ratio of two numbers is 4: 7

And the bigger number is 28

Let x be the smaller number

Step 1:

From the question, the ratio of two numbers is 4:7

And also given that the bigger number is 28.

⇒$\frac{x}{28}$ = $\frac{4}{7}$

By solving it we get,

⇒x(7) = 4 (28)

⇒7x = 112

⇒x = $\frac{112}{7}$ = 16

So, the smaller number is 16 and the bigger. the number is 28.

Verify:

According to the question ratio of 28 and 16 should be 4:7.

Now, we check whether it is correct or not.

So, the smaller number is 16 and the bigger one is 28.

⇒ $\frac{16}{28}$ = $\frac{4}{7}$  proved.

Final answer:

Hence, the value of x is 16 which is the required smaller number.

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Answer 2

Answer:

The smaller number $= 4x$

                                  $= 16$

Explanation:

Given,

Ratio of two numbers be 4: 7.

Let one number be $4x$ and second number be $7x$

From above assumption, we can say that $7x$ is the bigger number,

                               $7x = 28$

                               $x = \frac{28}{7}$

                                 $x= 4$

Therefore, the smaller number $= 4x$

                          $=4(4)$

                            $= 16$

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