Question

Ten years ago diva's age was half of namrata. if the ratio of today's their ages is 3:4, then the sum of their current age will be.​

Answer 1

Answer:-

Given:

Ratio of Diva's age to Namrata's age = 3 : 4.

Let the age of diva be 3x and that of namrata be 4x.

Also,

Ten years ago diva was 1/2 the age of namrata.

• Namrata's age before 10 years = 4x - 10 years.
• Diva's age before 10 years = 3x - 10 years.

According to the above condition,

⟹ 3x - 10 = 1/2 * (4x - 10)

⟹ 3x - 10 = 1/2 * 2 * (2x - 5)

⟹ 3x - 10 = 2x - 5

⟹ 3x - 2x = - 5 + 10

⟹ x = 5

Hence,

• Namrata's age = 4x = 4(5) = 20 years.
• Diva's age = 3x = 3(5) = 15 years.

Now,

Sum of their ages = 20 + 15 = 35 years.

∴ The sum of their ages is 35 years.

Answer 2

Answer:

✳️ Given ✳️

• Ten years ago Diva's age was half of Namrata.
• The ratio of today's their ages is 3:4.

✳️ To Find ✳️

• What is the sum of their current age.

✳️ Solution ✳️

✒️ Let the present age of Diva's and Namrata are 3x and 4x years respectively.

Then, Ten years ago, age of Diva's = 3x - 10

And, ten years ago, age of Namrata = 4x - 10

✍️ Now, ten years ago, the age of Diva's was half of the age of Namrata.

➕ According to the question,

$\implies$ 3x - 10 = $\dfrac{4x - 10}{2}$

✏️ By doing cross multiplication we get,

$\implies$ 6x - 20 = 4x - 10

$\implies$ 2x = 10

$\implies$ x = $\sf\dfrac{\cancel{10}}{\cancel{2}}$

$\dashrightarrow$ x = 5

Hence, the age of Diva's = 3x = 3(5) = 15

And, the age of Namrata = 4x = 4(5) = 20

$\therefore$ The sum of their ages is = 15 + 20 = 35 years.

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