Question

Kalai says today is Monday.I celebrated my birthday 75 days ago.find the day when she celebrated her birthday using congruence modula

Answer 1

kalai is celebrating her birthday on Tuesday

Answer 2

Kalai celebrated her birthday in Wednesday.

Let us take

• Sunday - 0
• Monday - 1
• Tuesday - 2
• Wednesday - 3
• Thursday - 4
• Friday - 5
• Saturday -6

Hence,

• 1+(-75) = x ( mod7)
• -74 = x ( mod7)
• -70-4 = x ( mod7)
• 0-4 = x ( mod7)
• 7 - 4 = x ( mod7)
• 3 = x ( mod7)

Hence, x=3 which means Kalai celebrated her birthday in Wednesday.

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