Two numbers are in the ratio 3 : 5. If 6 is added to both of them, the ratio becomes 2 : 3. The numbers are = ?

121 and 35
230 and 50
324 and 40
418 and 30

Answer:- 1

Explanation:-

Solution:

Let numbers are = 3x and 5x
∴ According to question,

\begin{aligned} \Rightarrow \frac{3 x + 6}{5 x + 6} = \frac{2}{3} \\ \Rightarrow 9 x + 18 = 10 x + 12 \\ \Rightarrow x = 6 \\ So, numbers are \\ 3 x = 3 \times 6 = 18 \\ 5 x = 5 \times 6 = 30 \end{aligned}

$\eqalign{ & \Rightarrow \frac{{3x + 6}}{{5x + 6}} = \frac{2}{3} \cr & \Rightarrow 9x + 18 = 10x + 12 \cr & \Rightarrow x = 6 \cr & {\text{So, numbers are }} \cr & 3x = 3 \times 6 = 18 \cr & 5x = 5 \times 6 = 30 \cr}$

Workspace Report

Post your Comments

", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let numbers are = 3x and 5x
∴ According to question,

\begin{aligned} \Rightarrow \frac{3 x + 6}{5 x + 6} = \frac{2}{3} \\ \Rightarrow 9 x + 18 = 10 x + 12 \\ \Rightarrow x = 6 \\ So, numbers are \\ 3 x = 3 \times 6 = 18 \\ 5 x = 5 \times 6 = 30 \end{aligned}

Test

Classes

E-Book

Hello Guest

Two numbers are in the ratio 3 : 5. If 6 is added to both of them, the ratio becomes 2 : 3. The numbers are = ?

Post your Comments

Subject Wise

Exam Wise

NCERT
6 to 12

Paid Course

Practice Batch

Hello Guest

Two numbers are in the ratio 3 : 5. If 6 is added to both of them, the ratio becomes 2 : 3. The numbers are = ?

Post your Comments

Subject Wise

Exam Wise

NCERT 6 to 12

Paid Course

Practice Batch

NCERT
6 to 12