Question

n a row of student, Tato is 10m from the left end and Yama is 6h from the right end. When Tato
ama interchange their position, Tato will be 15th from the left end. Which of the following will
ma's position from the right end?
.
10
2. 11th
3. 120
4.13
5.9​

Answer 1

$\LARGE{ \underline{ \bf{Required \: answer:}}}$

Before interchanging:

• Tato was 10th from left.
• Yama was 6th from right.

After interchanging:

• Tato becomes 15th from left.

Earlier Yama was in the place of Tato before interchanging. So, Yama was 15th from the left as well as 6th from the right (Before interchanging).

Now:

• Total no. of students = Position from left + Position from right - 1

⇒ Total no. of students = 15 + 6 - 1

⇒ Total no. of students = 20

And According to this,

Before interchanging, the position of Tato was:

⇒ 20 = 10 + Position from right - 1

⇒ 20 = 9 + Position from right

⇒ Position of Tato from right = 11th

After interchanging, Yama comes in the same place of Tato.

Hence:

Yama's position from right after interchanging i.e. the correct option is:

$\huge{\boxed{\sf{\purple{Option \: (2)}}}}$

Answer 2

$\huge{\boxed{\rm{\red{Correct \: question}}}}$

In a row of student, Tato is 10 m from the left end and Yama is 6 m from the right end. When Tato and Yama interchange their position, Tato will be 15th from the left end. Which of the following will Tato's and Yama's position from the right end?

$\huge{\boxed{\rm{\red{Answer}}}}$

$\large{\boxed{\sf{Given \: that}}}$

• Tato is 10 m from the left left end

• Yama is in 6 m from the right end.

• Then Tato wil be 15th from the left.

$\large{\boxed{\sf{Before \: interchanging}}}$

• Tato was 10th from left.

• Yama was 6th from right.

$\large{\boxed{\sf{After \: interchanging}}}$

• Tato become 15th from left.

$\large{\boxed{\sf{To \: find}}}$

• Which of them will be in position from right end now.

$\large{\boxed{\sf{Let's \: understand \: the \: consept \: 1^{st}}}}$

• This question say that Yama was in the place of Toto before interchanging the place. Hence, Yama was 15th from the left as well as 6th from the right side #Before interchanging.

$\large{\boxed{\sf{Solution}}}$

• The Answer is Option 2 that is 11th position

$\large{\boxed{\sf{Full \: solution}}}$

$\large\purple{\texttt{According to the question}}$

$\large\purple{\texttt{Using the formula}}$

$\large\underbrace\mathfrak\green{Formula \: is \: given \: below}$

Total number of students = Position from left side + Position from right side - 1

☞ Total number of students = 15 + 6 - 1

{Given}

☞ Total number of students = 21 - 1

☞ Total number of students = 20

$\large\purple{\texttt{According to the question}}$

$\large\purple{\texttt{According to before interchanging}}$

☞ 20 = 10 + Position from right - 1

☞ 20 = 9 + Position from right

☞ Position of Tato from right = 11th

$\large\purple{\texttt{According to the question}}$

$\large\purple{\texttt{After interchanging Yama come in place of Toto}}$

$\large\purple{\texttt{Hence,}}$

The correct answer is 11th that is Option 2.

$\large{\boxed{\boxed{\sf{11th \: is \: the \: answer}}}}$

$\large{\boxed{\boxed{\sf{Option \: 2}}}}$

Hope it's helpful

Thank you :)