Question

Two number are in the ratio 3:4 if 5is added to each number their ratio become 7:9 find those number

Answer 1

Answer:

Given:

• Ratio of 2 numbers= 3:4
• 5 is added to each number
• New ratio is 7:9

To find:

• Each number

Method:

Let the unknown number be x

$\huge{\frac{3x + 5}{4x + 5} = \frac{7}{9} }$

On cross multiplication,

$9(3x + 5) = 7(4x + 5)$

$\implies \: 27x + 45 = 28x + 35$

$\implies 28x - 27 x = 45 - 35$

$\implies \: x = 10$

Now, the 2 numbers are 3x and 4x

=> 2 numbers are 30 and 40.

$\red{ \therefore{ \boxed{2 \: numbers \: are \: 30 \: and \: 40}}}$