The sum of two numbers is 33. the larger number is 3 more than two times the smaller number. what are the numbers?

Answer: The numbers are 10 and 23

Step-by-step explanation:

Let the smaller number be x

And the larger number be y

Ist sentence;

1. The sum of two numbers is 33.

X + y = 33 ... eqn 1

2. second sentence

the larger number is 3 more than two times the smaller number.

Y = 3 + 2x

Put y into eqn 1

X + 3 + 2x = 33

3x = 33 - 3

3x = 30

X = 30/3

X = 10 and y = 3 + 2x

Y = 3 + 2 (10)

Y = 3 + 20

Y = 23

Therefore the two numbers are 10 and 23