Question

two numbers ate in the ratio 5:9.On subtracting 3 from each ,the ratio become 1:2 . find the numbers​

Answer 1

Ratio before subtraction →→ Number 1 : Number 2 = 5 : 9

Let x be the constant ratio.

Ratio before subtraction →→ Number 1 : Number 2 = 5x : 9x

Ratio after subtraction →→ Number 1 : Number 2 = 1 : 2

Let y be the constant ratio

Ratio after subtraction →→ Number 1 : Number 2 = 1y : 2y

Form the equations:

5x - 3 = y     --------------------- [ 1 ]  

9x - 3 = 2y   --------------------- [ 2 ]

Substitute [ 1 ] into [ 2 ]:

9x - 3 = 2(5x - 3)

9x - 3 = 10x - 6

x = 3

 

Find the number:

5x = 5(3) = 15  

9x = 9(3) = 27

The two numbers 15 and 27.