Question

The ratio of two numbers is 2:3. If 5 is added in each numbers, then the ratio becomes 5:7 find the numbers.

The ratio of two numbers is 2:3.

So, let the first number be 2x and the second number be `square`.

From the given condition,

`((2x) + square)/(square + square) = square/square`

`square (2x + square) = square (square + square)`

`square + square = square + square`

`square - square = square - square`

`- square = - square`

x = `square`

So, The first number = `2 xx square = square`

and, Second number =  `3 xx square = square`

Hence, the two numbers are `square` and `square`

Answer 1

The ratio of two numbers is 2:3.

So, let the first number be 2x and the second number be 3x.

From the given condition,

`((2x) + bb5)/(bb(3x) + bb5) = bb5/bb7`

7(2x + 5) = 5(3x + 5)

14x + 35 = 15x + 25

14x – 15x = 25 – 35

– x = – 10

x = 10

So, The first number = 2 × 10 = 20

and, Second number =  3 × 10 = 30

Hence, the two numbers are 20 and 30.