1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
puteri [66]
3 years ago
11

John is twice as old as his son. In 42 years, the ratio of their ages will be 4:3. What is the son's current age?

Mathematics
1 answer:
dsp733 years ago
8 0

Answer: Jhon is 42 years old, and his son is 21 years old.

Step-by-step explanation:

Let's define:

J = John's age

S = Age of the son.

We know that:

"John is twice as old as his son"

J = 2*S

"In 42 years, the ratio of their ages will be 4:3. What is the son's current age?"

In 42, their ages will be:

J + 42 and S + 42.

And the ratio 4:3 means that:

(J + 42) = (4/3)*(S + 42)

Then we have the system of equations:

J = 2*S

(J + 42) = (4/3)*(S + 42)

To solve it we can first replace the first equation into the second one, to get:

(2*S + 42) = (4/3)*(S + 42)

2*S  - (4/3)*S = (4/3)*42 - 42

S*(6/3 - 4/3) = (1/3)*42

S*(2/3) = (1/3)*42

S = (3/2)*(1/3)*42 = 21.

And we can find Jonh's age if we use the first equation:

J = 2*S = 2*21 = 42

Jhon is 42 years old, and his son is 21 years old.

You might be interested in
20 Ib/day = ____ oz/h
Ulleksa [173]

The answer should be 320 oz.

5 0
3 years ago
Read 2 more answers
What are the 2 shorter sides of a right triangle called
o-na [289]

A right triangle has two shorter sides, or legs, and the longest side, opposite the right angle, which is always called the hypotenuse. ... The other leg in the right triangle is then called the adjacent side.

Hoping it helps!

4 0
2 years ago
Read 2 more answers
A baseball coach bought some bats and gloves for the school's baseball team. The bats cost $20 to $35, and the gloves cost $30 t
Nataly_w [17]
<span>find the range. [15(35)]+[12(60)] and this will be your high end. now do it again but at the low end [15(20)]+[12(30)] and this will be your low end. now you have the max amount the price would be and the lowest amount of the price. now look at your answers and see what is within that range and what isn't and there's your answer.</span>
3 0
3 years ago
Read 2 more answers
What is 2x+3+8x=3x+9x+7
Reika [66]

Answer:

x=-2

Step-by-step explanation:

Hey there!

In order to solve this equation, you need to combine like terms

The equation after combining the x terms and the contants will look like this

10x+3=12x+7

Now you have to take 10x away from both sides

3=2x+7

Now bring all the constants to the left side

3-7=2x

Simplify

-4=2x

divide 2 on both sides to get x by itself

x=-2

So, the answer is x=-2

3 0
2 years ago
Plz dont skip and answer. Will give branliest. No links please
Aneli [31]

Answer:

181 mi^2

Step-by-step explanation:

Dimensions of large rectangle, on the left, are 6 mi by 8 m; area is 48 m^2;

Dimensions of small rectangle, in the middle of the diagram, are 4 mi by 5 mi, or 20 mi^2; area is 20 mi^2.

Dimensions of circle:  r = 12 mi; area of quarter circle is (1/4)(3.14)(12 mi)^2, or 113 mi^2.

Total area is 113 mi^2 + 20 mi^2 + 48 mi^2, or 181 mi^2

4 0
2 years ago
Read 2 more answers
Other questions:
  • Please help me find the inverse
    13·1 answer
  • PLEASE HELP I GIVE THANKS
    9·1 answer
  • Can two fractions with the same numerator and different denominators can be equal.
    13·1 answer
  • Write the rational number 2.13 repeating as the ratio of two integers
    10·1 answer
  • What is bigger the square root of 10 or 3.2​
    9·1 answer
  • What is 525/1000 in simplest form?
    11·1 answer
  • (-2,0) and y=x+4<br> Find the slope-intercept form
    12·1 answer
  • Which of the following shows the solution for the system of linear equations?
    12·1 answer
  • Only need help on 38 please
    9·1 answer
  • If Thomas travels 120 miles in 2 hours how many will it take him to travel 300 miles
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!