Question

Sara goes to the shopping mall every 6th day. Andy goes to the same shopping mall every 7th day. How many times will they meet in the mall in the month of December and January if we start counting from 1st December?

Answer 1

Answer : Only Once

Given :- Sara goes to the shopping mall every 6th day. Andy goes to the same shopping mall every 7th.

So we will take LCM of 6,7

Let's Take LCM

3L___7,6___

7|___7,2_____

2 |_1,2___

1,1

So LCM would be 42 As 3×7×2 we get 42 so 42 is answer.

So They meet at 42th Day.

But Both Jan and Dec don't have 42 days it have 31 and 31 days

so 42-31=11

Which means That they meet at January 11th.

Now they are 20 days remaining for January so 20+22=42

So They meet at 22 Feburary again

So they meet only Once between January and December

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Answer 2

Given:

Find How many times will they meet in the mall=?

• According to the question we know that

• Sara  goes to the shopping mall every 6th day

• Andy goes to the same shopping mall every 7th day
• So it will take at least 6 × 7 =42 days before they meet
• There are 31 days in December and 31 days in January

         31 + 31 = 62 days

So there are 62 days in December and January and they meet 1 time.

Hence they meet only time in the mall.