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In a two-digit number the units digit is 5 more than the tens digit. Subtracting the original number from the number obtained by reversing its digits gives:

Class 10Pair of Linear Equations in Two VariablesAlgebra — Systems of Equations
  • A45
  • B5
  • C50
  • D9

Step-by-Step Solution

Let the tens digit be and the units digit , so the number is and its reverse is , with . Then — the same for every such number (16, 27, 38, 49). Answering 5 stops at the digit difference, and 9 stops at the factor.
Answer: A) 45

Key idea: Word problems and translation

Most Class 10 questions on this topic are word problems. The skill is in TRANSLATION:

1. Identify the two unknowns; assign variables (e.g., let = age of A, = age of B).
2. Write two equations from the two given pieces of information.
3. Solve by your preferred method.

**Common types**:
- **Age problems**: 'Father is twice as old as son. Five years ago father was three times. Find ages.'
- **Number problems**: 'A two-digit number plus its reverse is 99...'
- **Distance/time/speed**: 'Boat in still water speeds, downstream/upstream rates...'
- **Cost problems**: 'Cost of pencils and pens.'
- **Fraction problems**: 'A fraction becomes 1/2 when 1 is added to numerator and 2 is subtracted from denominator...'

Always CHECK by substituting solution back into the original word problem (not just the equations).

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