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4 votes
The lcm of two numbers is 60 and their sum is 27
what are the numbers?​

User Munomono
by
8.6k points

1 Answer

6 votes

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

.

User Mavichow
by
8.9k points

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