Question

The number which when subtracted from each other of the terms of the ratio 19:31 reducing it to 1:4 is

Answer 1

19-x/31-x =1/4
76-4x =31-x
-3x = -45
x=45/3
x÷15
so that number is 15.

Answer 2

let the number being subtracted be x
Then, (19-x):(31-x) = 1:4
-----> 19-x/31-x = 1/4
-----> 4(19-x) = 31-x
-----> 76-4x = 31-x
-----> 76-31=4x-x
-----> 3x = 45
-----> x = 45/3
-----> x = 15
Therefore, the number is 15.