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You will have to calculate the following so as to give me a clue :

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Douine – Sixième/Cinquième – DNL maths – Your birthdate / How old are you ?

1

Your Birthdate

“I am going to guess your birthdate !

You will have to calculate the following so as to give me a clue :

Multiply the day when you were born by 12,

Then multiply the month by 37,

Finally add both totals and give me your result R.”

Write down and fill in the grid step by step.

M is the rest of Euclidian division of R by 12

S = R – 37 x M

J is the full quotient of the Euclidian division of D by 12.

R M S J

How old are you ?

“I am going to guess your age !

You will have to calculate the following so as to give me a clue :

You are going to pick a number from 1 to 9.

Multiply this number by 9.

Subtract this last result to 10 times your age and give me your result R.”

Write down and fill in the grid step by step.

U is the unit digit of number R.

D is the number of tens of number R.

A = U + D.

R U D A

Something strange ?

Take a three digit number. Make the six digit number N by writing your three digit number twice. For example for 637, N is 637637.

Divide N by 13, divide the quotient that gives you by 11, and divide the new quotient by 7.

Try few times. What do you notice ?

Could you justify your conjecture ?

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