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Problems on Numbers

Problems on Numbers: Formulas, Shortcuts and Solved Examples

Number problems turn a sentence into an equation. This lesson gives each rule, the reason it…
When the digits of a two-digit number are interchanged, the value of the number changes by how much, per unit difference between the digits?
If a and b are two numbers such that their sum is S and their difference is D, the smaller number is expressed as what?
If a and b are two numbers such that their sum is S and their difference is D, the larger number is expressed as what?
Consider this data-sufficiency question: what is the two-digit number? Statement I: the sum of its digits is 8. Statement II: the difference between its digits is 6. Which of these is correct?
Consider this data-sufficiency question: what is the two-digit number? Statement I: the sum of its digits is 9. Statement II: the difference between its digits is 5. Which of these is correct?
Consider this data-sufficiency question: what is the two-digit number? Statement I: the sum of its digits is 9. Statement II: the difference between its digits is 3. Which of these is correct?
Consider this data-sufficiency question: what is the two-digit number? Statement I: the sum of its digits is 10. Statement II: the difference between its digits is 6. Which of these is correct?
Consider this data-sufficiency question: what is the two-digit number? Statement I: the sum of its digits is 11. Statement II: the difference between its digits is 5. Which of these is correct?
Consider this data-sufficiency question: what is the two-digit number? Statement I: the sum of its digits is 9. Statement II: the difference between its digits is 1. Which of these is correct?
In a two-digit number, the unit’s and ten’s digits are 9 and 1 respectively. If the digits are interchanged, the new number is how much more than the original?
In a two-digit number, the unit’s and ten’s digits are 5 and 4 respectively. If the digits are interchanged, the new number is how much more than the original?
In a two-digit number, the unit’s and ten’s digits are 9 and 8 respectively. If the digits are interchanged, the new number is how much more than the original?
In a two-digit number, the unit’s and ten’s digits are 9 and 4 respectively. If the digits are interchanged, the new number is how much more than the original?
In a two-digit number, the unit’s and ten’s digits are 9 and 5 respectively. If the digits are interchanged, the new number is how much more than the original?
In a two-digit number, the unit’s and ten’s digits are 9 and 6 respectively. If the digits are interchanged, the new number is how much more than the original?
In a two-digit number, the unit’s and ten’s digits are 8 and 6 respectively. If the digits are interchanged, the new number is how much more than the original?
In a two-digit number, the unit’s and ten’s digits are 6 and 4 respectively. If the digits are interchanged, the new number is how much more than the original?
A two-digit number exceeds the number formed by reversing its digits by 18. If the sum of its digits is 6, what is the original number?
A two-digit number exceeds the number formed by reversing its digits by 27. If the sum of its digits is 13, what is the original number?
A two-digit number exceeds the number formed by reversing its digits by 54. If the sum of its digits is 12, what is the original number?
A two-digit number exceeds the number formed by reversing its digits by 18. If the sum of its digits is 12, what is the original number?
A two-digit number exceeds the number formed by reversing its digits by 54. If the sum of its digits is 8, what is the original number?
A two-digit number exceeds the number formed by reversing its digits by 9. If the sum of its digits is 5, what is the original number?
A two-digit number exceeds the number formed by reversing its digits by 27. If the sum of its digits is 5, what is the original number?

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