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 half the other number .what are the numbers

Answer 1

Answer:

Let the greater number be a and smaller number be b. So - 

1) Twice the greater number is 2a.

2) Subtracting 16 from 2a => 2a-16.

3) This is equal to half the smaller number. => 

Multiply both sides by 2, we get - 

b = 4a - 32 -------------------(1)

1) Half the greater number is .

2)Subtracting 1 from a/2 => .

3)This is equal to half the smaller number. =>.

Multiply both sides by 2, we get -

=>  b = a -2 --------------------(2)

Subtract (2) from (1),we get

3a - 30 = 0

=> a = 10

Putting a in (1), we get - 

b = 4.a - 32 = 4.10 -32 = 8

=> (a,b) = 10, 8

Bigger number is 10, smaller number is 8.

Step-by-step explanation: