Question

some boys are sitting in a row. P is sitting 14th from the left and Q i
seventh from the right. it there are four boys between P and Q . how many boys are there in the row?

Answer 1

Given :-

• P is at 14th position from Left.

• Q is at 7th position from Right.

• There are 4 boys. between P and Q.

To Find :-

• Number of boys in row.

Solution :-

If we look at the row from left side . We note that

→ There are 13 boys behind P .

→ 1 is P himself.

→ 4 boys after P and before Q.

→ 1 Q himself .

→ 6 boys after Q .

If we sum up all these we can write as

→ Total boys = 13+1+4+1+6

→ Total boys = 25 boys.

If we want to cross check it then we can calculate from the right side also .

→ 6 boys behind Q.

→ 1 Q himself.

→ 4 after Q and before P.

→ 1 P himself.

→ 13 after P .

→ Total boys = 6+1+4+1+13

Total boys = 25 boys.

Answer 2

Answer:

⋆ DIAGRAM :

$\setlength{\unitlength}{1cm}\begin{picture}(6,8)\thicklines\put(1, 2.8){\line(2,0){5}}\put(1,2.8){\vector(-2,0){0.5}}\put(6,2.8){\vector(2,0){0.5}}\put(3.97,2.7){\line(0,2){0.2}}\put(4.4,2.7){\line(0,2){0.2}}\put(3.2,2.7){\line(0,2){0.2}}\put(3.6,2.7){\line(0,2){0.2}}\put(2.8,2.7){\line(0,2){0.2}}\put(2.4,2.7){\line(0,2){0.2}}\put(4.3,2.3){\sf Q}\put(2.3,2.3){\sf P}\put(1.1,3){\vector(2,0){0.8}}\put(2.1,3){\sf 14th}\put(5.6,3){\vector(-2,0){0.8}}\put(4.1,3){\sf 7th}\end{picture}$

$\rule{100}{0.8}$

⠀⠀☢ P is Sitting from Left = 14th

⠀⠀☢ Number of Boys in b/w of P & Q = 4

⠀⠀☢ Q is Sitting from Right = 7th

As we can see, there must be 13 Student at the left of P & 6 Students at the Right of Q.

$\underline{\bigstar\:\textsf{Total Number of Boys in the Row :}}$

$\dashrightarrow\textsf{\:\:Total = Boys Uptil P + Between P \& Q}\\{\qquad\qquad\qquad\textsf{+ Boys behind Q \& including him}}\\\\\\\dashrightarrow\sf\:\:Total = 14 + 4 + 7\\\\\\\dashrightarrow\sf\:\:Total = 25$

⠀

$\therefore\:\underline{\textsf{Hence, Total Boys in the row are \textbf{25}}}.$