Question

The lcm of two coprime numbers is 336 and the difference between them is 41 .find the numbers

Answer 1

lcm of coprime numbers = 1st no x 2ndno
let them be x and y
so xy=336
x-y=41
x-41=y
so x(x-41)=336
=x²-41x-336=0
=x²-48x+7x-336
=x(x-48)+7(x-48)
(x+7)(x-48)
x=-7 or x=48
taking the positive value
x=48
y=x-41
y=48-41=7