Answer: The two numbers are 5 and 12
Explanation:
As the least common multiple of two numbers is
60
, the two numbers are factors of
60
.
Factors of
60
are
{
1
,
2
,
3
,
4
,
5
,
6
,
10
,
12
,
15
,
20
,
30
,
60
}
As one of the numbers is
7
less than the other, the difference of two numbers is
7
Among
{
1
,
2
,
3
,
4
,
5
,
6
,
10
,
12
,
15
,
20
,
30
,
60
}
,
3
&
10
and
5
&
12
are the only two pair of numbers whose difference is
7
. But Least common multiple of
3
and
10
is
30
.
Hence, the two numbers are
5
and
12
.