4rth standard question-confused

[arv9876]

Need some help in how to find the answers for these kind of questions. any books recomendation or online resources will be helpful. any one know how to find solution for such kind of problems?

Q:Fred attends Tennis lessons at Relax country club every 3 days.Paul attends tennis lessons at the same club every 4 days.If both of them started their tennis lessons on the same sunday,which day of the week will they meet again for their tennis lessons?

Answer is friday on the answer sheet but i have no idea how to get it.
Anyone can help on the right method to approach such kind of problems ?

 

[Deleted member 4993]

Need some help in how to find the answers for these kind of questions. any books recomendation or online resources will be helpful. any one know how to find solution for such kind of problems?

Q:Fred attends Tennis lessons at Relax country club every 3 days.Paul attends tennis lessons at the same club every 4 days.If both of them started their tennis lessons on the same sunday,which day of the week will they meet again for their tennis lessons?

Answer is friday on the answer sheet but i have no idea how to get it.
Anyone can help on the right method to approach such kind of problems ?

They will meet at the lowest common multiple of 3 and 4 days..................What are your thoughts?

Please share your work with us.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

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We can help - we only help after you have shown your work - or ask a specific question (e.g. "are these correct?")

 

[soroban]

Hello, arv9876!

If you're looking in books for a "Two Tennis Players Formula", good luck!
You are expected to use your Common Sense in 99% of math problems.

Fred attends tennis lessons every 3 days.
Paul attends tennis lessons every 4 days.
If both of them started their lessons on the same Sunday,
which day of the week will they meet again for their tennis lessons?

Answer is Friday on the answer sheet, but I have no idea how to get it. . Really?

Take a page from any calendar.

Write "F" on any Sunday.
Then write "F" on every third day thereafter.

Write "P" on the same Sunday.
Then write "P" on every fourth day thereafter.


It will look like this:

. . \(\displaystyle \begin{array}{|c|c|c|c|c|c|c|} \hline \text{Sun} & \text{Mon} & \text{Tue} & \text{Wed} & \text{Thu} & \text{Fri} & \text{Sat} \\ \hline F&-&-&F&-&-&F \\ P &-&-&-&P&-&- \\ \hline -&-&F &-&-&{\color{blue}F} &- \\ -&P &-&-&-& {\color{blue}P} &- \\ \hline \end{array}\)


We can see that they both attend on a Friday.