Question

help:))
separate 114 into two parts such that when the larger is divided by the smaller , the quotient is 3 and the remainder is 18..

Answer 1

a+b=114
a/b =3 with a remainder of 18.
This can be written as
a=3b+18
So
3b+18+b=114
4b=114-18 = 96
b=96/4=24.
From a+b=114, a=90.
Therefore the larger number is 90 and the smaller is 24.