The sum of the digits of a two-digit number is 9. The number formed by reversing the digits is 27 less than the original number. Find the original number.
Class 8Word ProblemsLinear Equations
A54
B63
C72
D81
Step-by-Step Solution
Tens = t, units = 9−t. Original = 10t+(9−t)=9t+9. Reversed = 10(9−t)+t=90−9t.(9t+9)−(90−9t)=27,18t−81=27,18t=108,t=6. Original = 63.
Answer: B) 63
Master this chapter in 30 minutes a day.
Don't just memorise the answer — build a daily practice habit.