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Advent calendar 2017

2 December

There are three cards; one number is written on each card. You are told that the sums of pairs of cards are 99, 83 and 102. What is the sum of all three cards?

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Tags: numbers

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trigonometry elections games averages tiling dominos prime numbers polynomials geometry algebra consecutive numbers products matrices palindromes prime factors determinants triangles regular shapes graphs complex numbers irreducible numbers sums routes mean triangle numbers geometric means volume the only crossnumber rectangles floors xor shapes even numbers squares partitions axes star numbers sum to infinity calculus digits angles unit fractions sets remainders integration indices sequences doubling spheres bases odd numbers range dates dice pascal's triangle coordinates scales wordplay cards tangents colouring perfect numbers hexagons chess binary lists parabolas square roots pentagons area coins shape polygons ellipses cube numbers numbers integers books dodecagons perimeter decahedra clocks albgebra percentages digital clocks gerrymandering menace cryptic clues time symmetry medians money cubics circles factors fractions powers rugby division median ave addition expansions arrows cryptic crossnumbers consecutive integers functions probabilty sport combinatorics 3d shapes digital products crossnumbers balancing multiplication square grids logic probability people maths quadratics advent folding tube maps factorials planes number quadrilaterals neighbours grids lines crosswords surds square numbers christmas speed differentiation geometric mean chalkdust crossnumber multiples chocolate 2d shapes proportion multiplaction squares means tournaments taxicab geometry

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