Question

if from twice the greater of two numbers 16 is substrated, the result is half the other number. If from half the greater number 1 substrated, the result is still half the other number. what are the numbers?​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Let’s consider the greater number to be x and the smaller number to be y.

Then, according to the given conditions we have

2x–16=2y⇒4x−32=y⇒4x−y=32     … (i)

And,

2x−1=2y⇒x−2=y⇒x−y=2     … (ii)

Now, subtracting (ii) from (i) we get

(4x−y)−(x−y)=32−2

⇒3x=30

⇒x=10

On substituting the value of x in (i), we get

2(10)−16=2y

⇒20−16=2y

⇒4=2y

⇒y=8

Therefore, the two numbers are 10 and 8.