SOLUTION: The average daily income for a certain number of days is rs 25. Excluding the income of rs 54 for a certain day, the average income becomes Re 1 less. Find the number of days f

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Question 1055438: The average daily income for a certain number of days is rs 25. Excluding the income of rs 54 for
a certain day, the average income becomes Re 1 less. Find the number of days
for which the average is Rs 25.
Found 2 solutions by josmiceli, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = total income for the
certain number of days
Let = the certain number of days
-------------------------------------
given:
(1)
(2)
---------------------------
(2)
(2)
(2)
Plug this result back into (2)
----------------------------
(2)
(2)
(2)
(2)
(2)
--------------------
question:
Find if the average is 25
(1)
(1)
(1)
(1)
For 30 days, the average is Rs 25
--------------------------------
Check my math & maybe get another opinion, too



Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The average daily income for a certain number of days is rs 25. Excluding the income of rs 54 for
a certain day, the average income becomes Re 1 less. Find the number of days
for which the average is Rs 25.
Let number of days be D

Then total income is: 25D

Excluding Rs 54 makes the new income: 25D – 54, and the number of days: D – 1

We then get the following AVERAGE DAILY-INCOME equation: 

25D – 54 = 24(D – 1) -------- Cross-multiplying

25D – 54 = 24D – 24

25D – 24D = - 24 + 54

 

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