Question

If from twice the greater of two numbers 16 is subtracted, the result is half the other
number. If from half the greater number 1 is subtracted, the result is still half the other
number. What are the numbers​

Answer 1

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=

2

y

⇒4x−32=y⇒4x−y=32 … (i)

And,

2

x

−1=

2

y

⇒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=

2

y

⇒20−16=

2

y

⇒4=

2

y

⇒y=8