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### Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation2.10 Word Problems - Digits

 Steps: 1. Read the problem carefully and note down what is given and what is required. 2. Select a letter say x or y or z to represent the unknown quantity asked for. 3. Represent the word statements of the problems in the symbolic language step by step. 4. Look for quantities which are equal as per conditions given and form an equation. 5. Solve the equation. 6. Verify the result for making sure that your answer satisfies the requirements of the problems. Example: In a two digit number, the units digit is two more than tens digit. Sum of the digits is equal to 1/4 of the whole number find the number. Solution: Let x = ten's digit Units digit = x+2 Number = 10x + (x+2) = 11x+2 Sum of the digits = x+x+2 = 2x+2 Given that 2x+2 = 1/4(11x+2) Multiplying both sides by 4 we get 8x+8 = 11x+2 Transposing 11x and 8 8x-11x = 2 - 6 -3x = -6 x = 2 this is ten's digit Unit's digit = x+2 = 2+2 = 4 Number = 11x+2 = 11*2+2 = 22+2 = 24 Directions: Solve the following word problems. Also write 5 examples of your own.
 Q 1: In a two-digit number, ten's digit is twice the units digit. The number formed by interchanging the digits is 36 less than the original number. Find the number.Answer: Q 2: In a two-digit number, units digit is twice the ten's digit. If sum of the digits is added to the whole number, the result is equal to 30. Find the number.Answer: Q 3: In a two-digit number, unit's digit is 3 more than the ten's digit. The number formed by interchanging the digits and the original number are in the ratio 7:4. Find the number.Answer: Q 4: In a two-digit number, the units digit is 5 less than the ten's digit. The number formed by interchanging the digits and the original number are in the ratio 3:8. Find the number.Answer: Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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