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harkovskaia [24]
3 years ago
13

Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now

Mathematics
1 answer:
Korolek [52]3 years ago
3 0

The present age of Jane is 45 years old and present age of her sister is 9 years old

<em><u>Solution:</u></em>

Let the present age of Jane be "x"

Let the present age of her sister be "y"

<em><u>Jane is 5 times older than her sister</u></em>

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

<em><u>In 3 years, Jane’s sister will be 1/4 her age</u></em>

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

3 + y = \frac{1}{4}(3 + x)

Substitute eqn 1 in above equation

3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

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This question is not complete because is lacks the options for each question.

Complete question

mr. whittaker’s science class uses tide gauges to measure annual variations in water levels at different parts of a river, and then compares those variations to the average annual trend. matea recorded that the water level in one part of the river fell 1.05 millimeters per year for 2.48 years. this data will be compared to the average annual trend, which shows the water level rising 1.8 mm/year.

1) Which number represents the rate at which the water level fell?

a. -1.05 mm/year

b. -1.8 mm/year

c. -2.48 years

d. -2.48 mm/year

2) Which number should the rate be multiplied by to find the total variation in water level?

a. 1.05 mm/year

b. 1.8 mm/year

c. 2.48 years

d. 2.48 mm/year

Answer:

1) Which number represents the rate at which the water level fell?

a. -1.05 mm/year

2) Which number should the rate be multiplied by to find the total variation in water level?

c. 2.48 years

Step-by-step explanation:

Total Variation in the water level is calculated by multiplying the rate at which the water level and number or years at which the rate of the water level fell

From the question, we can see that the rate at which the water level fell is -1.05 mm/year and number of years at which the water level fell is 2.48mm

Hence,Total Variation in the water level is calculated as

-1.05 mm/year × 2.48 years

Total variation in the water level = -2.604mm

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Step-by-step explanation:

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Find the value of x in this equation. 25(4x − 3) − 2x = 45 − x
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Answer:

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Step-by-step explanation:

Let's solve your equation step-by-step.

25(4x−3)−2x=45−x

Step 1: Simplify both sides of the equation.

25(4x−3)−2x=45−x

(25)(4x)+(25)(−3)+−2x=45+−x(Distribute)

100x+−75+−2x=45+−x

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98x+−75=−x+45

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Step 2: Add x to both sides.

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Step 3: Add 75 to both sides.

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Step 4: Divide both sides by 99.

99x

99

=

120

99

x=

40

33

Answer:

x=40/33

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