.two numbers are in the ratio xy when 2 is added to both the numbers.the ratio becomes 1:2.when 3 is subtracted from both the numbers. the ratio becomes 1:3.find the sum of x and y
Answers
Hey there!!
X and Y, when is added it becomes 1 : 2
Numbers = ( x + 2 ) ÷ ( y + 2 ) = ( 1 ÷ 2 )
Cross multiply
2 x + 4 = y + 2
2 x - y = - 2 --------------------------- ( 1 )
Now, 3 is subtracted from both the numbers
( x - 3 ) ÷ ( y - 3 ) = ( 1 ÷ 3 )
Cross multiply
3 x - 9 = y - 3
3 x - y = 6 ---------------------------- ( 2 )
Now, let us subtract equation 2 from equation 1
2 x - y = - 2
- ( 3 x - y ) = - ( 6 )
---------------------------
2 x - y = - 2
- 3 x + y = - 6
Now , add the two equations
- y and + y get cancelled
- x = - 8
x = 8
Now, substitute x in any equation and find out y
( 2 ) ( 8 ) - y = - 2
16 - y = - 2
- y = - 2 - 16
- y = - 18
y = 18
x = 8
y = 18
x + y = 18 + 8
x + y = 26
The sum of the two numbers is 26
Hope my answer helps!
#PeaceOut
#FIERCE
Answer:
26
Step-by-step explanation:
2(x+2)=(y+2)
2x+4 = y+2
2x-y = -2
That is our first equation; now for the next one.
3(x-3) = y-3
3x-9 = y-3
3x-y = 6
We use elimination to find the value of x.
-x = -8
x= 8
y= 18
8+18=26