Question

The L.C.M of two numbers is 48. The numbers are in the ratio 2:3. The sum of numbers is:​

Answer 1

Answer:

Step-by-step explanation:

Let the coming ratio be x

Hence the two no are 2x and 3x

The lcm of 2x and 3x is given as

2x × 3x = 6x

As per question the lcm is 48

Hence 6x = 48

x = 48/6

=8

Hence the numbers are 2x = 2×8 = 16

3x = 3 × 8 = 24

The sum of these is number rs is 16 + + 24 = 40

Ans 40

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Answer 2

Solution :-

Let the numbers be 2x and 3x.

Then, their L.C.M = 6x.

According to the Question,

6x = 48

→ x = 48 / 6

→ x = 8

The numbers are 16 and 24.

Hence,

Required sum = (16 + 24)

= 40