Name: ___________________ Date:___________________ 

Method 2: Step 1: Write all the equations in terms of one variable. Step 2: Solve the equation Example : The tens digit of a twodigit 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. 
Name: ___________________ Date:___________________ 