Question

Three numbers add up to 147. The smallest number is half the middle number, which is half the
largest number. What are the three numbers? Show evidence

Answer 1

Answer:

x=21

y=42

z=84

Step-by-step explanation:

let the smallest number be x middle number be y and largest number be z

then according to question

y=z/2,

x=y/2

then x=z/4

also

x+y+z = 147

z/4 + z/2 + z=147

7z=588

z=84

therefore

x=21

y=42

z=84

Answer 2

The three numbers are 21, 42 and 84.

Given that, three numbers add up to 147.

What is an equation?

An equation is a mathematical statement that two expressions are equal. The solution of an equation is the value that when substituted for the variable makes the equation a true statement

Let the smallest number be x, the middle number be y and the largest number be z.

The smallest number is half the middle number, which is x=y/2.

The middle number is half the largest number, which is y=z/2.

⇒z=2y

Now, x+y+z=147

⇒y/2+y+2y=147

⇒y+2y+4y=194

⇒7y=294

⇒y=42

Then, x=42/2=21 and z=2×42=84

Verification:21+42+84=147.

Therefore, the three numbers are 21, 42 and 84.

To learn more about the numbers visit:

https://brainly.com/question/17429689.

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