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1) Alex wrote ten different digits on one red card and nine blue cards, only one digit per card. If he multiplies the digit on the red card by the sum of all the digits on the blue cards, he gets 296.

What digit is written on the red card?

 

2) 

Dan thought of two numbers. Their product is 2020. 

If he increases each of his numbers by 1, the product of the new numbers is 2000. 

If he decreases each of his original numbers by 2, what is the product of the resulting numbers?

 

Thanks!

 May 8, 2020
 #1
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1) Alex wrote ten different digits on one red card and nine blue cards, only one digit per card. If he multiplies the digit on the red card by the sum of all the digits on the blue cards, he gets 296.

What digit is written on the red card?

 

Alex must have written 8 on the RED card and 1, 2, 3, 4, 5, 6, 7, 9 on the nine BLUE cards, because:

[1+2+3+4+5+6+7+9] =37 and: 8 x 37 = 296.

 May 9, 2020

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