Question

Two numbers are in the ratio 5:6 when 2 is added to first and 3is added to second, they are in the ratio 4:5 Find the number.​

Answer 1

Answer:

The numbers are 10 and 12

Step-by-step explanation:

Let the numbers be 5x and 6x.

so, (5x + 2)/(6x + 3) = 4/5

25x + 10 = 24x + 12

x = 2

thus, the numbers are 5*2 and 6*2

So the numbers are 10 and 12

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Answer 2

Answer:

The numbers are 10 and 12.

Step-by-step explanation:

Let the two numbers be x and y.

x/y =5/6

:6x =5y

:6x-5y =0...............(1)

:x+2/y+3=4/5

:5x+10=4y+12

:5x-4y=2.................(2)

: multiplying equation 1 by 5 and equation 2 by 6,we get

30x-25y = 0 .........(3)

30x-24y = 12 .........(4)

-. +. -. [Subtracting]

________________

-y = -12

y = 12

: Substituting the value of y in equation 1, we get

6x-(5×12) = 0

6x = 60

x= 10.

Hope it helps:)