Quadratic Equations and Inequalities: Application MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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ApplicationHardQuestion 220041

Question

A two-digit number is 4 more than 6 times the sum of its digits. If the digits are reversed, the new number is 9 less than the original. Find the original number:

A
10
Correct
B
64
C
46
D
72

Correct answer

Explanation

Let the digits be x and y. The conditions give $4x-5y=4$ and $x-y=1$ . Thus $y=0$ and $x=1$ , so the number is 10; its reversal is 1, which is 9 less.

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