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# Puzzle Archives :: IBM

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IBM Practice Set

• Question :: 1

# Grandpa's Age

Two boys don't know the age of each other, one day they met grandpa and asked him about his age. Grandpa said:"The addition of digit in the tens place and the digit in one's place of my age is equal to the subtraction of digit in the tens place and the digit in ones place of the age of one of you." The two guys thought hard but didn't figure it out. The second day, they came to ask grandpa again, grandpa said:"My age is equal to the multiplication of the addition and subtraction of your ages." The two guys could not figure it out. The third day, they came to grandpa,  grandpa said:"My age = (age of one of you)*7 - (age of the other)*4" The two poor boys still could not figure it out, the forth day, grandpa said:"One of you, whose age I didn't refer to in the first day, exchange his age's digit in tens place with digit in ones place, then minus the addition of the digit in tens place and the digit in ones place, the result is equal to my age." Can you figure out grandpa's age?

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