PRMO 2018 #25

Algebra Level 3

Let T be the smallest positive integer which, when divided by 11,13,15 leaves remainders in the sets {7,8,9}, {1,2,3}, {4,5,6} respectively. What is the sum of the square of the digits of T ?

Note: This problem is not original.


The answer is 81.

Aaryan Maheshwari by Aaryan Maheshwari , 16, India

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1 solution

Saya Suka
Jun 18, 2019

Sum of the square or square of the sum?

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sum of the square of the digits, for example 123. Then the answer would be 1+4+9=14

Aaryan Maheshwari - 1 year, 11 months ago

T = 184
= 11x + 8
= 13y + 2
= 15z + 4


Answer
= 1² + 8² + 4²
= 81

Saya Suka - 4 months, 3 weeks ago

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