Question

sum of the two number is 106 . if greater number is divided by smaller number then the quotient is 2 and remainder is 19 find the number by completing activity the greater number M and smaller number be n.​

Answer 1

Answer:

let the required two numbers be x and y such that x>y.

now, it is given that

x+y= 106 ...........(I)

and , x = y×2+19

or, x = 2y+19

or,. x-2y= 19 ............(ii)

By subtracting eq.1 from 2 ,we get

so, (x-2y)-(x+y)=19-106

x-2y-x-y= -87

-3y= -87

y=29

then x= 106-y=106-29=106-29= 77

Hence ,the two numbers are 77 and 29.(sorry for not taking M and n as the required numbers. So please do not mind for it)