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?
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Answer 1

Step-by-step explanation:

if from twice the greater of two numbers 16 is subtracted the result is half the other number. if from half the greater number one is subtracted , the - 21205438

Answer 2

Answer:

10 and 8

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 = y/2 ⇒ 4x – 32 = y ⇒ 4x – y = 32 … (i)

And,

x/2 – 1 = y/2 ⇒ x – 2 = y ⇒ x – y = 2 … (ii)

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

4x – y = 32

x – y = 2

(-)–(+)—(-)—

3x = 30

x = 10

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

2(10) – 16 = y/2

20 – 16 = y/2

4 = y/2

y = 8

Therefore, the two numbers are 10 and 8.