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The ratio between a two – digit number and the sum of the digits of that number is 4 : 1. If the digit at the unit’s place is 3 more than the digit at the ten's place, then the number is
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- 47
- 69
- 36
- 25
Correct Option: C
Check through options
Number = 36
3 + 6 = 9; 6 – 3 = 3
and 36 : 9 = 4 : 1
Otherwise– 10x + y : x + y = 4 : 1
⇒ 10x + (x + 3) : x + (x + 3) = 4 : 1
⇒ | = | ||
2x + 3 | 1 |
⇒ 11x + 3 = 8x + 12
⇒ 3x = 9 ⇒ x = 3 and y = 6
Then the number is 36.