The second of two numbers is three times the first. Twice the sum of 15 and the first number is equal to 15 plus the second.What are the numbers?

magda8471

magda8471

Answered question

2022-08-02

The second of two numbers is three times the first. Twice the sum of 15 and the first number is equal to 15 plus the second.What are the numbers?

Answer & Explanation

quillassed7

quillassed7

Beginner2022-08-03Added 13 answers

y = 3x
2(15+x)=15 +y
30+2x=15+3x
x=15
y=45
heelallev5

heelallev5

Beginner2022-08-04Added 2 answers

I'm going to use variables to make this easier. We know we're looking for 2 numbers from the problem statement. Let the first number be "a" and the second be "b".
From the first sentence in the problem, we're told that
b=3 x a
The second sentence looks like
2 x (15 + a) = 15 + b.
We have two equations and two unknowns. Solve. Plug in 3a = b into the second equation.
2 x (15 + a) = 15 + 3a.
Put all "a"s on one side of the equation and solve
30 + 2a = 15 + 3a
30-15=3a-2a
15=a
plug into first equation
b= 3 x 15 =45

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