one positive number is one-fifth of another. the difference between the two is 76. find the numbers

Question

write a mathatical model for the proble and solve.

Answer 1

Given

One positive number is one - fifth of another number.

The difference between the two numberes is 76.

Let the one positive number be x.

So another number is x / 5

The difference between the two numberes is 76.

x - x / 5 = 76

( 5 x - x ) / 5 = 76

4 x / 5 = 76

4 x = ( 76 * 5 )

4 x = 380 

x = 380 / 4

x = 95.

Therefore one positive number is 95.

The another number = x / 5 = 95 / 5 = 19.