India 2nd Elementary Mathematics International Contest

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T1.    There are three people: grandfather, father and son. The grandfather’s age is an even number. If you invert the order of the digits of the grandfather’s age, you get the father’s age. When adding the digits of the father’s age together, you get the son’s age. The sum of the three people’s ages is 144. The grandfather’s age is less than 100. How old is the grandfather?

T2. Three cubes of volume 1 cm3, 8 cm3 and 27 cm3 are glued together at their faces. Find the smallest possible surface area of the resulting configuration.

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