Question

The ratio of two numbers is 5 : 7. If 40 is added in each number, then the ratio becomes
25:31, Find the numbers.​

Answer 1

Answer:

Solution

Let the first number because 5x and second number because 7x.

Form the given condition,

$\frac{5x + 40}{7x + 40} = \frac{25}{31} \\ 31 \times 5x + 40 = 25 \times 7x + 40 \\ 155x + 1240 = 175x + 1000 \\ 1240 - 1000 = 175x - 155x \\ 240 = 20x \\ x = 12$

First number =5*12=60 and second number =7*12=84

given number are 60. and 84.