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SASMO 2021 Grade 9 Question 21

SASMO · SASMO 2021 Grade 9

Question 21

Positive integers $a,b,c,d$ satisfy $a\le b\le c\le d$. How many quadruples $(a,b,c,d)$ satisfy $ab=cd=a+b+c+d-3$?

Answer format: an integer without units. Leading zeros are optional; the source uses four digit boxes.