Question

The ages of Nazia and Sana are in the ratio 5 ratio 7 4 years from now the ratio of their ages will be 3 ratio 4 their present ages are ​?

Urgent!

Answer 1

Given,

• The ages of Nazia and Sana are in the ratio 5 :7
• 4 Years From Now the ratio of their ages will be 3:4

To Find,

• Present ages of Nazia and Sana

Solution,

• The ages of Nazia and Sana are in the ratio 5 :7

⇒Age of Nazia be 5a

And , Age of Sana be 7a

Now According to the Question :

• 4 Years From Now the ratio of their ages will be 3:4

$\implies \sf{\dfrac{5a + 4}{7a + 4} = \dfrac{3}{4}}$

$\implies \sf{4(5a + 4) = 3(7a + 4)}$

$\implies \sf{20a + 16 = 21a + 12}$

$\implies \sf{20a - 21a = 12 - 16}$

$\implies \sf{20a - 21a = -4}$

$\implies \sf{-a = -4}$

$\implies \boxed{\sf{a = 4 \ years }}$

Therefore ,

$\boxed{\bold{\purple{Age \ of \ Nazia = 5a = 5 \times 4 = 20 \ years}}}$

$\boxed{\bold{\purple{Age \ of \ Sana = 7a = 7 \times 4 = 28 \ years}}}$

$\rule{200}2$

Answer 2

$\huge\underline\textsf{Question:}$

The ages of Nazia and Sana are in the ratio 5 ratio 7. 4 years from now the ratio of their ages will be 3 ratio 4,their present ages are?

$\huge\underline\textsf{Answer:}$

★$\boxed{\sf Age\:of\:Sana = 20\:years}$

★$\boxed{\sf Age\:of\:Nazia = 28\:years}$

$\huge\underline\textsf{Explanation:}$

☆ Given,

• Ratio of ages of Sana and Nazia is
• Four years from now, the ratio of their ages will be 3:4.

☆ To Find,

• Their present age.

☆ Solution,

→ Let the present age of Nazia and Sana be 5x and 7x.

☆ 4 years from now :

→ Nazia = 5x + 4

→ Sana = 7x + 4

☆ According To The Question :

$\mapsto\sf{\dfrac {5x+4}{7x+4} = \dfrac {3}{4}}$

$\mapsto\textsf{4(5x + 4) = 3(7x + 4)}$

$\mapsto\textsf{20x + 16 = 21x + 12}$

$\mapsto\textsf{20x - 21x = 12 - 16}$

$\mapsto\textsf{-x = -4}$

$\mapsto\sf\purple{x = 4}$

☆ Now, their present ages will be :

$\leadsto\textsf{Nazia = 5(4) = 20\:years}$

$\leadsto\textsf{Sana = 7(4) = 28\:years}$

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