Question

Ratio of two numbers is 8:13. If 14 is added to each,the ratio becomes 2:3. Find the number

Answer 1

Step-by-step explanation:

5:6/7/8-9+39=243+7896+25=8900

Answer 2

Ratio of the numbers = 8 : 13

Let the two numbers be 8x and 13x .

When 14 is added to these numbers the ratio becomes 2 : 3 .

$\longrightarrow \frac{8x + 14}{13x + 14} = \frac{2}{3}$

$\longrightarrow 3(8x+14) =2(13x+14)$

$\longrightarrow 24x +42 = 26x + 28$

$\longrightarrow 26x - 24x = 42-28$

$\longrightarrow 2x = 14$

$\longrightarrow x = 7$

The numbers are 56 and 91 .

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