Question

The ratio between Sophia's age and Neelam's age is 6:7. If the age of Sophia is 24 years, what is the age of Neelam?

Answer 1

Answer:28years

Step-by-step explanation:

Answer 2

The answer is 28 years.

Given: Ratio of Sophia's age and Neelam's age = 6:7

           Age of Sophia = 24 years

To find: the age of Neelam

Solution:

Let the common factors in the ratio be x.

∴ Sophia's age = 6x years

Neelam's age = 7x years

According to the problem,

6x = 24

⇒ x = $\frac{24}{6}$

⇒ x = 4

Substituting the value of x in Neelam's age, we get,

Neelam's age = 7 × 4

                       = 28 years

Answer) Neelam's age is 28 years.

Ratio and Proportion

• A ratio refers to the comparison between two objects of the same unit. It refers to the quantity in which the commodity has been distributed or separated. A ratio can be written with a colon or in the fraction form to show the comparison in quantity between two elements.

• In the given sentence, we have been provided with the ratio of ages of Sophia and Neelam. I have taken the common factor of the ratio as x to find out the proper ages.

• Proportion refers to the values which are found from calculating the ratios. After equating the ratios, the values which are found are called the proportionate values.

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