What are the numbers?

Question

The sum of three numbers is 95

. The second number is 3

 times the third. The third number is 5

 less than the first. What are the numbers?

Answer 1

Here's an easy way to do this for next time you have this problem:

Let's say n is the first number, okay?

The third number will be n - 5 because it 5 less than the first

And the second number will be 3(n - 5) because it is 3 times the third which is 5 less than the first.

And their sum is 95 so we can make this solution as n + n - 5 + 3(n - 5) = 95

We do order of operations (PEMDAS) and multiply the 3 by n - 5: n + n - 5 + 3n - 15 = 95

Let's try to get n by itself by combining all like terms: 5n - 20 = 95

Next we add 20 to both sides: 5n = 115

And then we divide by 5 to find n: n = 23

Now that we know what n is, we found our first number (remember we said n is our first number)

Now we plug in n to our other two numbers

Our third number was: n - 5, so we substitute it to 23 - 5 which equals 18.

Now we find our second number which is 3 times the third which is 3 x 18 = 54

We have all three of our numbers now:

1st number = 23, 2nd number is 18, and 3rd number is 54

And their sum equals 95 :D

I really honestly hoped this helped!!!

Answer 2

Let the 3 numbers be called X1, X2 and X3.

You're given that X1+X2+X3 = 95.

Also you're told that X3 = X1-5 (5 less than the first) and X2 = 3*X3 = 3*(X1 - 5).

Write the equation all in terms of X1 ==> X1 + 3(X1 - 5) + (X1 - 5) = 95

Simplify ==> X1 + 3X1 - 15 + X1 - 5 = 95 ==> 5X1 - 20 = 95 ==> 5X1 = 115 ==> X1 = 23.

X3 = X1 - 5 = 23 - 5 = 18.

X2 = 3X3 = 3*18 = 54.

X1=23, X2=54 and X3=18.

Check: 23+54+18 = 95.

Answer 3

23, 54 and 18

Let x=1st y=2nd z=3rd number

You have 3 equations, and 3 unknowns

1st equation

x + y + z = 95

2nd and 3rd equations

y=3z z=x-5

substitute 3rd into the 2nd

y=3(x-5) = 3x-15

substitute for y and z their values in terms of x

x + (3x-15) + (x-5) = 95

expand and simplify

5x - 20 = 95

5x = 115

x = 23

z=x-5

z=23-5=18

y=3z=3(18)=54

The 3 numbers are 23, 54, 18 They sum to 95. 3rd is 5 less than 1st. 2nd is 3 times the 3rd