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Art [367]
3 years ago
6

Charity is four times as old as her daughter. She is also six years younger than her husband. The sum of their ages ten years to

come will be 117 years. How old is Charity today? ​
Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

Answer: Charity is 36 years old today.

Step-by-step explanation:

Let x = Present age of daughter.

Age of Charity = 4x

Age of her husband = 4x+6

After 10 years,

Age of daughter = x+10

Age of Charity = 4x+10

Age of her husband = 4x+6+10=4x+16

As per given,

x+10+4x+10+4x+16=117

9x+36=117\\\\ 9x=117-36\\\\ 9x=81\\\\ x=9

Present age of Charity = 4(9)=36 years

Hence, Charity is 36 years old today.

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Answer:

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Step-by-step explanation:

Given that:

1. P(x) = \frac{2}{3x - 1}

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Thus,

P(x) ÷ Q(x) = \frac{2}{3x - 1} ÷ \frac{6}{-3x + 2}

Flip the 2nd function, Q(x), upside down to change the process to multiplication.

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2. P(x) + Q(x) = \frac{2}{3x - 1} + \frac{6}{-3x + 2}

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\frac{2(-3x + 2) + 6(3x - 1)}{(3x - 1)(-3x + 2)}

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3. P(x) - Q(x) = \frac{2}{3x - 1} - \frac{6}{-3x + 2}

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P(x)*Q(x) = \frac{2*6}{(3x - 1)(-3x + 2)}

P(x)*Q(x) = \frac{12}{(3x - 1)(-3x + 2)}

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Answer:

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Step-by-step explanation:

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