the sum of two numbers is 30. the larger number is two more than three times the smaller number. what are the numbers?
Accepted Solution
A:
Answer: 7 and 23Step-by-step explanation:Let the first number be x and the second number be y.From the first statement , we havex + y = 30 --------------- equation 1Taking x as the larger number , from the second statement , we havex = 3y + 2 --------------- equation 2substitute equation 2 into equation 1 , we have3y + 2 + y = 304y + 2 = 304y = 28y = 7substitute y = 7 into equation 2 , we havex = 3(7) + 2x = 21 + 2x = 23therefore : x = 23 and y = 7