MHB What is the present age of the mother and son in this age problem?

  • Thread starter Thread starter mathdad
  • Start date Start date
  • Tags Tags
    Age
AI Thread Summary
The problem states that a mother is currently ten times as old as her son, and in six years, she will be four times his age. Setting up the equations, if the son's age is x, then the mother's age is 10x. The equation 10x + 6 = 4(x + 6) simplifies to 6x = 18, leading to the son's age being 3 and the mother's age being 30. This confirms the initial condition of the mother being ten times the son's age. The solution is validated through the calculations provided.
mathdad
Messages
1,280
Reaction score
0
A mother is 10 times as old as her son. In six years time she will be four times as old as her son. Find the present age of the mother.

Here is the set up:

Mother = 10x

Son = x

10x + 6 = 4(x + 6)

Correct?
 
Last edited:
Mathematics news on Phys.org
Complete the problem and check your work to find out! :)
 
10x + 6 = 4(x + 6)

10x + 6 = 4x + 24

10x - 4x = 24 - 6

6x = 18

x = 18/6

x = 3

So, the son is 3 and his mom is 30.
 
Last edited:
RTCNTC said:
A mother is 10 times as old as her son. In six years time she will be four times as old as her son. Find the present age of the mother.

Here is the set up:

Mother = 6x

Son = x

6x + 6 = 4(x + 6)

Correct?

?

try again ...
 
skeeter said:
?

try again ...

I corrected my typo.
 

Thread 'Trigonometry problem of interest'

Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
View full post »

Thread 'Six Pencil Puzzle'

Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.
View full post »
Thread 'Imaginary Pythagoras'

Thread 'Imaginary Pythagoras'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

MHB Age word problem: when john is 12 years old, how old is his mother?
Replies
2
Views
2K
MHB How old until mother is 4 times older
Replies
3
Views
2K
MHB How Old Is John Now?
Replies
2
Views
2K
MHB What is Kayleen's current age if she will be four times older in 20 years?
Replies
6
Views
4K
MHB Vatha & Chris Ages: Solve to Find Out How Old They Are Now
Replies
1
Views
2K
Age Word Problem: Find Father & Son's % Difference
Replies
5
Views
2K
MHB Solve Ramesh's Algebra 1 Homework on Ages
Replies
3
Views
1K
MHB How Old is Lee Based on the Given Mathematical Problem?
Replies
4
Views
1K
Weight training for older people
Replies
26
Views
2K
MHB How Old is Bill Crowe Today Based on the Given Age Problem?
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top