CAT 2017 · Slot 2Quantitative AbilityLinear EquationsHARD+3 / −1TITA

How many different pairs(a,b) of positive integers are there such that $a\geq b$ and $\frac{1}{a}+\frac{1}{b}=\frac{1}{9}$ ?

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CAT 2017 · Slot 2Quantitative AbilityLinear EquationsHARD+3 / −1TITA

Practice the full paper

Attempt CAT 2017 Slot 2 Question Paper with real exam interface and instant grading.

How many different pairs(a,b) of positive integers are there such that a≥ba\geq ba≥b and 1a+1b=19\frac{1}{a}+\frac{1}{b}=\frac{1}{9}a1​+b1​=91​?