Question

6. 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

Answer:

Let the number be x and y .

from the given data ,

we get:

= 2x - 16 = 1/2 y

= 4x - 32 = y

= 4x - y = 32 .......... ( i )

and ,

= 1/2x - 1 = 1/2y

= 2 ( 1/2x - 1 ) = 1y

= 1x -1 = 1y

so, x - 1 = y

= x = y- 1 ......... ( ii )

solve (i) and (ii) equation ,

we get

=4x - y = 32

= 4 ( y - 1 ) - y = 32

= 4y - 4 - y = 32

= 3y = 32 + 4

= 3y = 36

y = 12 .

Then ,

x = y - 1

= x = 12 - 1

= x = 11 .

Therefore the value of x is 11 and y is 12