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Online Quiz (Worksheet A B C D)

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Math Word Problems - GED, PSAT, SAT, ACT, GRE Preparation
3.16 Word Problems - Digits

Method 2:
Step 1: Write all the equations in terms of one variable.
Step 2: Solve the equation

Example :
The tens digit of a two-digit number is two more than the ones digit. The number is thirty more than four times the sum of the digits. What is the number?

Solution:
Let the ones digit be 'x'
Tens digit is two more than the ones digit = x + 2
The number is 10(x+2) + x
Thirty more than four times the sum of the digits so 4(x + x + 2) +30
Therefore, the number is thirty more than four times the sum of the digits can be written as
10(x + 2) + x = 4(x + x + 2) + 30
10(x + 2) + x = 4(2x + 2) + 30
10x + 20 + x = 8x + 8 + 30
11x + 20 = 8x + 38
11x - 8x = 38 - 20
3x = 18
x = 18/3 = 6
the number in tens place is x + 2 = 6 + 2 = 8
The number is 86.

Directions: Solve the following word problems.
Q 1: The sum of two digits of a two digit number is 15. If 9 is added to it, the digits are reversed. Find the number.
(Hint: Let the digit in the unit's place = x then the Tens place = 15 - x.
The number 10(15 - x) + x = 150 - 10x + x
= 150 - 9x
If the digits are reversed, the number = 10x + 15 - x = 9x + 15
Solving 150 - 9x + 9 = 9x + 15 )
69
96
78

Q 2: Find the number whose half diminished by 1 is equal to one third of the number. (Hint: Let the number be x.
number whose half diminished by 1 is equal to one third of the number can be written as: (1/2)x - 1 = (1/3)x
Solve for x)
8
9
6

Q 3: Twice a certain number is greater than 10 by 4. What is the number? (Hint: Let the number be x.
Twice a certain number is greater than 10 by 4 can be written as: 2x - 10 = 4
Solving for x)
7
5
6

Q 4: The ten's digit of a two digit number exceeds the unit's digit by 4. The sum of the digits is 10. Find the number.
(Hint: Let the units digit = x
Ten's digit = x + 4
x + x + 4 = 10 )
51
73
40

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Question 6: This question is available to subscribers only!


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