Question

In a class of 45 students, a boy is ranked 20th. When two boys joined, his rank was dropped by one. What is his new rank from the end?

Answer 1

$\sf{\underline{Answer:}}$ 27

$\sf{\underline{We\:know\:that:}}$

Total number of boys:

Soon after the 2 new boys joined:

$\implies$ 47

$\sf{\underline{Since:}}$ The rank of the boy dropped by 1,

$\sf{\underline{It\:became:}}$ $\implies$ 21st 20th.

$\sf{\underline{Therefore:}}$

His new rank from the end:

$\implies$ 47 - 21 + 1

$\implies$ 47 - 20

$\implies$ $\boxed{\huge{\sf{27th}}}$

$\sf{\underline{Note:}}$ It can be solved in other way also.

After 2 boys joined,

$\sf{\underline{Total\:strength\:of\:the\:class:}}$

$\implies$ 45 + 2

$\implies$ 47

As rank was dropped by one from 20th rank, new rank is 21st.

Rank of the boy from the beginning:

$\implies$ 21

Number of students,

⚫$\sf{\underline{Below\:his\:rank:}}$

$\implies$ 47 - 21

$\implies$ 26

⚫$\sf{\underline{Rank\:from\:the\:end:}}$

$\implies$ (47 - 21) + 1

$\implies$ 26 + 1

$\implies$ $\boxed{\huge{\sf{27th}}}$

$\sf{\underline{Therefore:}}$

His new rank from the end is 27th.

Answer 2

Answer:

Step-by-step explanation:

Total number of boys:

Soon after the 2 new boys joined:

47

The rank of the boy dropped by 1,

 21st 20th.

His new rank from the end:

47 - 21 + 1

47 - 20

 

It can be solved in other way also.

After 2 boys joined,

45 + 2

47

As rank was dropped by one from 20th rank, new rank is 21st.

Rank of the boy from the beginning:

21

Number of students,

⚫

47 - 21

26

⚫

(47 - 21) + 1

26 + 1

His new rank from the end is 27th.

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