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  4. A three digit number a b c is 459 more than the sum of its digits. What is the sum of the 2-digit number a b and the 1-digit number a ?

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Q. A three digit number $a b c$ is 459 more than the sum of its digits. What is the sum of the 2-digit number $a b$ and the 1-digit number $a$ ?

Pair of Linear Equations in Two Variables

Solution:

(i) Let the three digit number be $100 x+10 y+z$.
(ii) Frame the equations and solve them.