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miskamm [114]
2 years ago
9

a father is twice as old as his son. 20 yrs ago the father was four times as old as his son. find their present ages

Mathematics
1 answer:
Roman55 [17]2 years ago
5 0

Answer:

son's present age = 30

father's present age=60

Step-by-step explanation:

his son's present age = x years

his father's present age = 2x years

before 20 years his son's age=(x-20) years

before 20 years father's age=(2x-20) years4(x-20)=(2x-20)

4x-80=2x-20

4x-2x=80-20

2x=60

x=30

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UPS charges 7$ for the first pound, and $0.20 for each additional pound.FedEx charges 5$ for the first pound and $0.30 for each
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It will take 21 pounds for UPS and FedEx to cost the same

Step-by-step explanation:

There are two options

1. UPS charges 7$ for the first pound, and $0.20 for each

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2. FedEx charges 5$ for the first pound and $0.30 for each

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We need to find for how many pounds "p" it will take for UPS and

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∵ P is the number of pounds

∴ The number of pounds after the first pound = p - 1

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∵ The cost of the first pound is $7

∵ The cost of each additional pound is $0.2

∴ The cost in UPS = 7 + 0.2(p - 1)

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∴ The cost in UPS = 7 + 0.2(p) + 0.2(-1)

∴ The cost in UPS = 7 + 0.2p - 0.2

∴ The cost in UPS = 0.2p + 6.8 ⇒ (1)

In FedEX

∵ The cost of the first pound is $5

∵ The cost of each additional pound is $0.3

∴ The cost in FedEX = 5 + 0.3(p - 1)

- Simplify it

∴ The cost in FedEX = 5 + 0.3(p) + 0.3(-1)

∴ The cost in FedEX = 5 + 0.3p - 0.3

∴ The cost in FedEX = 0.3p + 4.7 ⇒ (2)

Equate (1) and (2) ⇒ the costs of the two options

∵ 0.2p + 6.8 = 0.3p + 4.7

- Subtract 0.2p from both sides

∴ 6.8 = 0.1p + 4.7

- Subtract 4.7 from both sides

∴ 2.1 = 0.1p

- Divide both sides by 0.1

∴ p = 21 pounds

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Learn more:

You can learn more about the word problems in brainly.com/question/13101704

#LearnwithBrainly

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