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I am Lyosha [343]
3 years ago
14

There are six children in a family. Five of them are respectively 2, 6, 8, 12 and 14 years older than the youngest, and the age

of each child is a prime number. How old is the youngest?
Mathematics
2 answers:
german3 years ago
4 0

The youngest is 5 years old

Step-by-step explanation:

The prime numbers are the numbers that have only two factors

1 and itself

Example: 2, 3, 5, 7, 11, 13, 17, 19, 23, .......

There are six children in a family

  • Five of them are respectively 2, 6, 8, 12 and 14 years older than the youngest
  • The age of each child is a prime number

We need to find the age of the youngest

Assume that the age of the youngest is x years old

∵ The age of the youngest is x years old

∵ The ages of other children are respectively 2, 6, 8, 12 and 14 years

   older than the youngest

∴ The ages of other children are respectively

→ x + 2

→ x + 6

→ x + 8

→ x + 12

→ x + 14

∵ The age of each child is a prime number

- Let us chose x from the list of the prime number above to find the

  correct x which makes all the ages are prime

If x = 2

∵ x + 2 = 2 + 2 = 4 ⇒ not prime

∴ x can not be 2

If x = 3

∵ x + 2 = 3 + 2 = 5 ⇒ prime

∵ x + 6 = 3+ 6 = 9 ⇒ not prime

∴ x can not be 3

If x = 5

∵ x + 2 = 5 + 2 = 7 ⇒ prime

∵ x + 6 = 5 + 6 = 11 ⇒ prime

∵ x + 8 = 5 + 8 = 13 ⇒ prime

∵ x + 12 = 5 + 12 = 17 ⇒ prime

∵ x + 14 = 5 + 14 = 19 ⇒ prime

∴ x can be 5

∵ The ages of the children are 5 , 7 , 11 , 13 , 17 , 19

∵ All the ages are prime numbers

∴ The age of the youngest is 5 years

The youngest is 5 years old

Learn more:

You can learn more about prime numbers in brainly.com/question/4550858

#LearnwithBrainly

Klio2033 [76]3 years ago
4 0

Answer:

The youngest is 5 years old

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3 0
3 years ago
Read 2 more answers
Please help me. math.
KiRa [710]

Answer:

y =293(1.06) ^x

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If we are using the model for growth

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3 0
3 years ago
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
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Answer:

36years

Step-by-step explanation:

Let charity present age be x

Charity daughter present age be y

Charity husband present age be z

If the sum of their ages ten years to come is 117, then;

10+x+10+y+10+z = 117

30+x+y+z = 117

x+y+z = 87 ... 1

If charity is four times as old as her daughter, then;

x = 4y

y = x/4 ... 2

If she is also six years younger than her husband, then;

x = z- 6

z = x+6 .. 3

Substitute 2 and 3 into 1;

x + x/4 + (x+6) = 87

Multiply through by 4

4x + x + 4(x+6) = 4(87)

5x+4x+24 = 348

9x = 348 - 24

9x = 324

x = 324/9

x = 36

hence Charity is 36years old today

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3 years ago
15 - 9 + 2.65 + 1.35 + 2(1.74)
statuscvo [17]
15 - 9 + 2.65 + 1.35 + 3.48
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