1. The sum of digits of a two digit number is 11. If 9 is added to the number, its digits are reversed. Find the numbers. 2. Two numbers in the ratio 5:8. If the sum of the numbers is 182. Find the numbers. 3. Sum of the digits of a two-digit number is 15. If the number formed by reversing the digits is less than the original number by 27, find the original number. Check your solution 4. The denominator of a rational number is greater than its numerator by 3. If 3 is subtracted from the numerator and 2 is added to its denominator the new number becomes 1/5. Find the original number. Check your solution. 5. Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio between the new numbers so formed is 5:7. Find the original numbers. 6. The sum of the digits of a two digit number is 12. The if the number new formed by reversing the digit is greater than the original numbers by 54, find the original number. Check your solution. 7. The digit in the tens place of a two digit number is three times that in the units place. If the digits are reversed the new number will be 36 less than the original number. Find the original number. Check your solution. 8. In a fraction twice the numerator is 2 more than the denominator.3 is added to the numerator and to the denominator, the new fraction if 2/3. Find the original fraction. 9. Half of a herd of deer are grazing in the field and three fourths of the remaining are playing nearby the rest 9 are drinking water from the pond. Find the number of deer in the head. 10. Four-fifths of a number is grater than three-fourths of the number by 4. The number is ___.
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