Question

Find the greatest number which when divided by 6 15 and 18 leave remainder 5 in each case

Answer 1

Answer:

Hope this helps, but....

There is no greatest number with that property!

The smallest positive number that leaves a remainder of 5 in each case is 5.

The lcm (lowest common multiple) of 6, 15 and 18 is 90.

So adding any multiple of 90 to 5 will give another number with the property that "when divided by 6, 15 and 18, it leaves a remainder of 5 in each case".

In other words, the numbers with that property are:

5, 95, 185, 275, 365,.... , 90k+5, .... etc.