Question

The difference between two positive integers is 36. The quotient, when one integer is divided by the other is 4. The largest integer is ____.

Answer 1

Let one positive integer be x.

Other integer = (x - 36)

According to the question,

\(\frac {x}{x-36} = \frac {4}{1}\)

\(4x - 144 = x\)

\(4x-x-144 = 0\)

\(3x -144 =0\)

\(3x = 144\)

\(x =\frac {144}{3}\)

\(\therefore x = 48\)

\(\therefore\) One positive integer = 48

Other integer = 48 - 36

= 12

\(\therefore \) The largest integer is 48.