A two–digit number is such that the product of its digits is 12
MATHEMATICS · Multi-part · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables
Problem
A two–digit number is such that the product of its digits is 12. When 36 is added to the number, the digits interchange their places.
(i) Let the tens digit of the number be x and the units digit be y. Express the given conditions as two algebraic equations in x and y.
(ii) Eliminate one variable to obtain a quadratic equation in the other variable.
(iii) Solve the quadratic equation and hence determine the required two–digit number.