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Mathematics

2 answers:

balu736 [363]2 years ago

8 0

Answer:

actually it's 4 !!!!!!!

Viefleur [7K]2 years ago

4 0

Answer:

Step-by-step explanation:

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3 years ago

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A woman is q years old while her son is p years old. the sum of their ages is equal to twice the difference of their ages. the p

Allisa [31]

Step-by-step explanation:

Given

$q + p = 2(q - p)$

as equation 1.

I used q-p as the difference as logically the woman will be older than her son.

Also given,

$qp = 675$

as equation 2.

Using equation 2,

$q = \frac{675}{p}$

substitute this equation into equation 1.

$\frac{675}{p} + p = 2( \frac{675}{p} - p) \\ \frac{675}{p} + p = \frac{1350}{p} - 2p \\ \frac{675}{p} - \frac{1350}{p} = - 2p - p \\ - 3p = - \frac{675}{p} \\ - 3p \times p = - 675 \\ - 3 {p}^{2} = - 675 \\ {p}^{2} = - 675 \div - 3 \\ {p}^{2} = 225 \\ p = \sqrt{225} \\ = 15$