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Anettt [7]
2 years ago
9

Three years hence a father will four times as old as his son will be. Before two years he was seven times as old as his son was.

Find their present ages.
Mathematics
2 answers:
myrzilka [38]2 years ago
7 0

Answer: The father is 37 years and the son is 7 years

Step-by-step explanation:

Let x represent the present age of the father.

Let y represent the present age of the son.

Three years hence a father will four times as old as his son will be. This means that

x + 3 = 4(y + 3)

x + 3 = 4y + 12

x - 4y = 12 - 3

x - 4y = 9- - - - - - - - - - - - - - - -1

Before two years he was seven times as old as his son was. This means that

(x - 2) = 7(y - 2)

x - 2 = 7y - 14

x - 7y = - 14 + 2

x - 7y = - 12- - - - - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

3y = 21

y = 21.3 = 7

Substituting y = 7 into equation 1, it becomes

x - 4 × 7 = 9

x - 28 = 9

x = 9 + 28

x = 37

andrey2020 [161]2 years ago
5 0

Answer:

Father 9 years

son 1 year

Step-by-step explanation:

knowing that the father is X and the son is Y we have the equation

X+3=4Y

X-2=7Y

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Problem of the Day 7.7
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Step-by-step explanation:

18 x 32 = 576

3 0
3 years ago
A function is shown below.<br> g(x) = 19.6 + 1.74x. what is the value of g (20)?
konstantin123 [22]

Answer:

54.4

Step-by-step explanation:

g(20) = 19.6 + 1.74 (20)

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3 0
2 years ago
The larger of two numbers is 12 more than the smaller number. if the sum of the two numbers is 74 find the two numbers.
STatiana [176]
Hi there!

Let th' two number be ' a ' and ' b ' [ a > b ]

According to th' question :-

→ The largest of two numbers is 12 more than the smaller number.

a = 12 + b ---(i)

→ Sum of the two numbers is 74.

a + b = 74

b = 74 - a ---(ii)

Substitute th' value of ' b in Eqn. :-

a = 12 + (74 - a)

a = 86 - a

a + a = 86

2a = 86

a = \dfrac {86}{2} = 43

Now,
Substitute th' value of ' a ' in Eqn. (ii)

b = 74 - b

b = 74 - 43

b = 31

Hence,
The required answer is :-

• The smaller number is 31
• The largest number is 43

~ Hope it helps!

7 0
3 years ago
Read 2 more answers
Translate y+3x2=5x into a sentence
Mrac [35]
I think it would be y plus 3 times 2 equals 5x. I'm not sure if that is what they are asking for.
3 0
3 years ago
Read 2 more answers
Plz help me my maths hw is due in a couple of hrs!!!
Hatshy [7]
The answers are in the picture
Have agreat day

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2 years ago
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