Days of the week may puzzle you.

Algebra Level 2

Which day is three days before the day immediately following the day two days before the day three days after the day immediately before Friday?

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Thursday Friday Sunday Tuesday Monday Saturday Wednesday

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Sandeep Bhardwaj by Sandeep Bhardwaj , 28, India

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4 solutions

Chew-Seong Cheong
Mar 26, 2015

Let us assign the weekdays with numbers.

S u n d a y = 0 M o n d a y = 1 T u e s d a y = 2 W e d n e s d a y = 3 T h u r s d a y = 4 F r i d a y = 5 S a t u r d a y = 6 \begin{array} {rl} Sunday &= 0 \\ Monday &= 1 \\ Tuesday &= 2 \\ Wednesday &= 3 \\ Thursday &= 4\\ Friday &= 5 \\ Saturday &= 6 \end{array}

Then the day

x + 3 − 1 + 2 − 3 + 1 = 5 ⇒ x + 2 = 5 ⇒ x = 3 = W e d n e s d a y x +3-1+2-3+1 = 5\quad \Rightarrow x +2 = 5 \quad \Rightarrow x = 3 = \boxed{Wednesday}

25 Helpful 0 Interesting 0 Brilliant 0 Confused

superb solution

Hrishik Mukherjee - 6 years, 2 months ago

I agree with your final answer of Wednesday but I can't follow your equation. When you simplify your first equation, it should be x-2=5, which would result in x=7. Even your second step of x-3=5 has nothing to do with x=3.

I believe you should have actually used the opposite signs in your original equation and then x would equal 3.

Tom Franclemont - 6 years, 1 month ago

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You are right. I got the − - and + + mixed up. I have edited the solution. It is actually equivalent to working backward from Friday. For example, the day immediately before Friday is 5 − 1 5-1 but it is on the RHS. It should be + 1 +1 on the LHS.

Chew-Seong Cheong - 5 years, 9 months ago

really a brilliant method salute to u

sakshi rathore - 5 years, 11 months ago

This makes no sense to me, since x - 3 + 1 - 2 + 3 - 1 = 5 becomes x - 2 = 5 (- 3 - 2 - 1 = -6; + 1 + 3 = 4; - 6 + 4 = - 2) and then x = 5 + 2 becomes x = 7. What did I do to get the wrong result?

Lucas Cristovam - 5 years, 9 months ago

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You are right. I got the − - and + + mixed up. I have edited the solution. It is actually equivalent to working backward from Friday. For example, the day immediately before Friday is 5 − 1 5-1 but it is on the RHS. It should be + 1 +1 on the LHS.

Chew-Seong Cheong - 5 years, 9 months ago
Cora Burke
Jul 29, 2015

Work backwards.

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Sara Sharma
Oct 4, 2015

I did -3-2+3 from Friday that is 2 days before Friday

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Soumo Mukherjee
Mar 26, 2015

Se my solution to this problem by Sandeep

:)

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