Question

Two numbers are in the ratio 2:3. if 5 is added to each number, the new ratio becomes 5:7. find the numbers

Answer 1

Answer:

Let numbers be = x, y

Equation (i):

x/y = 2/3

=> x = 2y/3

Equation (ii):

x+5/y+5 = 5/7

=> 7x + 35 = 5y + 25

=> 7(2y/3) + 35 = 5y + 25

=> 14y + 105 = 15y + 75

=> y = 105 - 75

=> y = 30

x = 2y/3 = 2 × 30/3 = 2 × 10

x = 20

_______________

Answer 2

Answer:

let the no be 2x, 3x

2x+5/3x+5=5/7

14x+35=15x+25

x=10

the no are 20,30