Practice30Create account

In a two-digit number the units digit is twice the tens digit. On reversing the digits, the new number is 36 more than the original. Find the original number.

Class 8Linear Equations in One VariableLinear Equations
  • A84
  • B36
  • C24
  • D48

Step-by-Step Solution

Let the tens digit be , so the units digit is . Original = and reversed = . Then → → , so the number is 48. Check: 84 − 48 = 36. The trap 84 is the REVERSED number and 36 is the given difference, not the number itself.
Answer: D) 48

Key idea: Translating word problems

Three steps:
1. **Pick a variable** for the unknown.
2. **Translate the words** into operations (sum, difference, product, quotient).
3. **Solve, then state the answer in the original units.**

Word clues: 'is/equals' = '='. 'sum' = +. 'difference' = −. 'product' = ×. 'quotient/per' = ÷. 'twice' = ×2. 'one more than' = +1. 'half of' = .

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Linear Equations in One Variable practice questions

More Class 8 Linear Equations in One Variable practice

The tens digit of a two-digit number is 2 more than its units digit. The number itself…Sameer is three times as old as his daughter. Four years ago he was seven times as old…Anjali's mother is four times as old as Anjali. In 10 years the mother will be only…Ravi has ₹350 in ₹10 and ₹20 notes only. He has 5 more ₹10 notes than ₹20 notes. How…A piggy bank holds only ₹2 and ₹5 coins, and the number of ₹5 coins is twice the number…