Question

Two numbers are in the ratio 1:2.If first number is decreased by 5 and the second number is increased by 4,their ratio becomes 5:4.Find the two numbers.

Answer 1

given
x:2x
x-5:2x+4=5:4
i.e,
(x-5)/(2x+4)= 5/4
4(x-5) = 5(2x+4)
4x-20=10x+20
-40=6x
x= -40/6
= -20/3
the two numbers are -20/3 and -40/3

Answer 2

Heya user !!!

Here's the answer you are looking

The two numbers are in the ratio 1:2

So let the numbers be 1x and 2x.

When 1st number is decreased by 5 it becomes (1x - 5)

When 2nd number is increased by 4 it becomes (2x + 4)

Then ratio becomes 5:4

So
(x - 5)/(2x + 4) = 5/4

4(x-5) = 5(2x+4)

4x - 20 = 10x + 20

10x - 4x = -20 -20 = -40

6x = -40

x = -40/6 = -20/3

and the other number, 2x = -40/3


Therefore, the two numbers are -20/3 & -40/3.



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