Question

5. Meera had some marbles with her. She made groups of 4 and groups of 5 with
them. Each time she was left with 2 seeds. What is the smallest number of
marbles that Meera had?​

Answer 1

she had atleast 22 marble

Answer 2

The smallest number of marble that Meera had was 22.

Given,

Meera had some marbles with her. She made groups of 4 and groups of 5 with them.

She was left with 2 marbles each time.

To Find,

The smallest number of marbles that Meera had.

Solution,

In this question, we have to take the LCM of the numbers.

So, let's understand the concept of LCM.

LCM stands for Least Common Multiple

In mathematics, LCM refers to the process of finding the smallest common multiple between two or more numbers. Common multiples are numbers that are multiples of two or more numbers.

Let the number of marbles each group had to be x

If she was left with 2 marbles each time,

then,

The smallest number of marbles is x + 2.

Now, we have to take the LCM of both numbers 4 and 5,

LCM of 4 and 5 = 20.

So, the value of x = 20.

then,

The smallest number of marbles = x +2.

= 20 + 2

= 22.

The smallest number of marble that Meera had was 22.

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