# Martha is 12 times older than her sister.she is 3 times younger than her brother.she is also 4 times older than her cousin .find the age of her cousin if their total age is 78

2
by Petunia

2016-01-15T22:56:15+05:30

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Let cousin's age=x yrs
Then Martha's age=4x
Brother's age=4x/3

Sister's age=4x/12
Now
x+4x+4x/3+4x/12=78
20x/3=78
x=78×(3/20)
x=11.7
Thus cousin's age =11.7 yrs

2016-01-16T16:39:07+05:30
Question: Martha is 12 times older than her sister. She is 3 times younger than her brother. She is also 4 times older than her cousin. Find the age of her cousin, if their total age is 78.

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Solution:  Let Martha's age be .

Then, her sister's age will be .
Her brother's age will be .
Her cousins' age will be

Values of  :

Martha age =
Sister age =
Brother age =
Cousin age =

Condition or Clue: Their total age is 78.

So, the sum of , and  is 78.

Equation:

Solvation:

=>

=>

=>

=>

=>

=>

=>

On rounding it up, we get -

Conclusion:

So, Martha's age is .
Cousin's age is .
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