Oranges = x & Apples = y

After Addition -

Oranges = x + 4 & Apples = y + 7

given ( x + 4 ) > 1/2 ( y + 7)

- 2x + 8 > y + 7

- 2x > y - 1 = all the numbers must satisfy this equation

Question : Find X?

[1] : x + 4 + y + 7 = 25 or x + y = 14

let's substitute y = 14 - x in equation 2x > y -1

2x > 14 - x - 1

3x> 13

x >= 5

x + y = 14

5 9

6 8

7 7 and so on : multiple values of x is possible hence [1] is alone not sufficient

[2] x * y = 33 [ since x & y has to be + ve integers as we can't have negative decimal oranges or apples ]

x = 1 ; y = 33 ==> 2 > 32 [ substituting numbers in the main equation 2x > y - 1] : no : this combination is not possible

x = 33 ; y = 1 ==> 66> 0 : Yes possible

x = 11 ; y = 3 ==> 22 > 2 : Yes possible

x = 3 ; y = 11 ==> 6> 10 : Not Possible

Again two different values of X are possible hence [2] alone is not sufficient

[1] + [2]

x + y = 14 & xy = 33

x = 11 ; y = 3 - this is our answer

x = 3 ; y = 11 - does not satisfy 2x > y - 1

Hence C

2x > y - 1

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