Question

The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. The bigger number is____ . The smaller number is____ .

Answer 1

The bigger number is 42 and the smaller number is 10

Answer 2

Let the bigger and smaller number be x and y, respectively. The equations that best represent the given conditions for the numbers are,
                                      x + 2y = 62
                                       3x = y + 116
The value of x and y from the equation is 42 and 10. Thus, the bigger number is 42 and the smaller number is 10.