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the sum of the number Orange in two different basket is 22 their products is 120 what is their number of good Orange in the basket in the basket with more Orange if 5of them are bad​

User Voglerr
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Answer: Let's call the number of good oranges in the first basket "x" and the number of good oranges in the second basket "y". We know that:

x + y = 22 (since the sum of the number of oranges in the two baskets is 22)

xy = 120 (since their product is 120)

We want to find the number of good oranges in the basket with more oranges, assuming that 5 of them are bad. Without loss of generality, we can assume that x ≤ y, so the basket with more oranges is the second basket.

If 5 of the oranges in the second basket are bad, then the total number of oranges in the second basket is y + 5. Since x + y = 22, we know that x = 22 - y. Substituting this into the equation xy = 120, we get:

(22 - y)y = 120

Expanding and rearranging, we get a quadratic equation:

y^2 - 22y + 120 = 0

We can solve this equation by factoring or using the quadratic formula:

(y - 10)(y - 12) = 0

The solutions are y = 10 and y = 12. Since we assumed that x ≤ y, the number of good oranges in the first basket is x = 22 - y. So we have:

y = 10: x = 22 - y = 12

y = 12: x = 22 - y = 10

Therefore, the number of good oranges in the basket with more oranges is 12 (since y = 12 is the larger of the two solutions), and there are 12 - 5 = 7 good oranges in that basket.

User Chris Gaunt
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