SOLUTION: steven is 6 years older than his sister claudia. The product of the ages of both siblings is 187.Find an equation and calculate the age of steven and claudia

Let x be the sister's age.

Then Steven is (x+6) years old.


Write the product equation

   x*(x+6) = 187.


You can reduce it to quadratic equation and solve it via the quadratic formula.


But more intelligent way is to notice that in the number 187 the alternate sum
of its digits, 1 - 8 + 7 = 0;  hence, 187 is divisible by 11.


It gives us 11 year for the age of the sister and 11+6 = 17 years for Steven.


ANSWER.  Claudia is 11 years old.  Steven is 17 years old.