Let unit digit =u, ten's digit =2u. Original number =10(2u)+u=21u. Interchanged number =10u+2u=12u. Given: 21u=2(12u)−12, so 21u=24u−12, giving u=4. Ten's digit =8, so number is 84.
In a 2-digit number, the ten's digit is two times its unit's digit and the number is 12 less than two times the number obtained by interchanging its…
CUET UG 2023 — General Test Quantitative Reasoning
2023mcqmedium
In a 2-digit number, the ten's digit is two times its unit's digit and the number is 12 less than two times the number obtained by interchanging its digits. Find the original number.
Official previous-year question
Held on 5 Jun 2023 · Verified 13 Jul 2026.
Options
- A
63
- B
42
- C
84
- D
12
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