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seraphim [82]
3 years ago
7

a man is four times as old as his son in five years time he will be three times as old as his son what is the present age of the

son in years​

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
4 0

I would start by setting up a chart like I did below.

Label one column age now and the other age in 5 years.

Since we don't know the son's age we use x.

We do know that the man's age is 4 times the son's age.

So the man's age will be 4x.

In the age in 5 year column, we add 5 to their current ages.

Now set up our equation.

Since it says "in five years" we use information in second column.

In 5 years time, he, "4x + 5", will be, equals,

3 times as old as his son, "3(x + 5)".

So we have 4x + 5 = 3(x + 5).

Solving from here, we find that x = 10.

So the son is 10 and the man is 4 times his age or 40.

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Jus need help with exercise 3 ONLY
WARRIOR [948]

Let us start with something we know is true.

5 > 3

That reads as 5 is greater than 3. Anyone will tell you that that is a true statement.

But what happens when you multiply this result by - 10

5 * -10 > 3 * - 10

- 50 >  -  30 is that true? If you are not sure, think it terms of money. Which would you rather be

owing 50 dollars to some or owing 30 dollars to someone? Of course if you are careful with money you would likely say neither. But this is math so you have to choose.

You likely would have to say you would want to owe 30 dollars. That makes  - 30 larger than - 50. So a true statement has now become a false one. Check with me if you don't understand. I'd like to know if you accept my explanation.

3 0
3 years ago
In △PKQ, PK = KQ = 12, m∠P = 35º. Find PQ.
Neporo4naja [7]

The length of PQ is 19.66 units

Step-by-step explanation:

The given is:

1. PK = KQ = 12

2. m∠P = 35º

We need to find the length pf PQ

∵ PK = KQ

∴ m∠P = m∠Q

∵ m∠P = 35°

∴ m∠Q = 35°

The sum of measures of the angles of a triangle is 180°

∴ m∠P + m∠Q + m∠K = 180°

∴ 35 + 35 + m∠K = 180

∴ 70 + m∠K = 180

- Subtract 70 from both sides

∴ m∠K = 110°

Let us use cosine rule to find the length of PQ

∵ PQ = \sqrt{(KP)^{2}+(KQ)^{2}-2(KP)(KQ)cos(K)}

∵ PK = 12 , KQ = 12 , m∠K = 110°

- Substitute these values in the rule

∴ PQ = \sqrt{(12)^{2}+(12)^{2}-2(12)(12)cos(110)}

∴ PQ = 19.66

The length of PQ is 19.66 units

Learn more:

You can learn more about triangle in brainly.com/question/12985572

#LearnwithBrainly

4 0
3 years ago
What is the surface area of a box if it is scaled up by a factor of 10
xenn [34]
If we are scaling up the surface area by a factor of 10 means that the two dimensions of area are each being increased by 10 times the original size. Therefore, the surface area is increased by a factor of 10 x 10, or by a factor of 100.

7 0
3 years ago
7a-3b-a+8-9b<br> Pls help!
iVinArrow [24]

Answer:

6a-12b+8

Step-by-step explanation:

Im pretty sure this is the answer but if it's not im so sorry

7 0
2 years ago
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The Mendes family bought a new house 10 years ago for $109,000. The house is now worth $193,000. Assuming a steady rate of growt
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The yearly rate of appreciation was $8400
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