The larger of two numbers is one more than three times the smaller number.If the sum of the numbers is 49, find the numbers.
Accepted Solution
A:
Answer:larger number x = 37 and smaller number y = 12Step-by-step explanation:Let the larger number be x and the smaller number be y.Sum of the numbers is [tex]x + y = 49[/tex] ....(1) ∴ [tex]y = 49 - x[/tex]Now, 3 times of the smaller number = 3yAccording to question, [tex]x = 3y + 1 ......(2)[/tex]Now, by substituting the value of y in (2)[tex]x = 3 (49 - x) + 1[/tex] [tex]x = 147 - 3x + 1[/tex][tex]x + 3x = 148[/tex] [tex]4x = 148[/tex][tex]x = 37[/tex]Now,y = 49 - x and [tex]x = 37[/tex][tex]y = 49 - 37 = 12[/tex]So the larger number x =37 and smaller number y = 12.