Write a mathmatical model for the problem and solve One posi

Write a mathmatical model for the problem and solve. One positive number is 4 times another number the difference between the two numbers Is 123. find the numbers.

Solution

let the one number be x

Another number be y

Given that one number is 4 times the other

==> x = 4y

difference of numbers = 123

==> x - y = 123

but x = 4y

==> 4y - y = 123

==> 3y = 123

==> y = 123/3 = 41

==> x = 4(y) = 4(41)

==> x = 164

Hence the numbers are 164 , 41