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

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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.
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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:
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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.
 
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