SOLUTION: the sum of the ages of two sisters is 37. the difference between four times the older sisters's age and three times the younger sistter's age is 43. how can i find the age of these
Algebra.Com
Question 164811: the sum of the ages of two sisters is 37. the difference between four times the older sisters's age and three times the younger sistter's age is 43. how can i find the age of these sisters?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lets call the younger sister s1 and the older sister s2. now we know that s1+s2=37 and we know that difference between 4 times the older sisters age which we will write as 4s2 and 3 times the younger sister age which we will write as 3s1 equals 43..writing this out this would be 4s2-3s1=43. So solving for s1 in the 1st equation we get s1=37-s2 plugging that into the second equation we get
4s2-3(37-s2)=43. now multiply out and simplify...we get 7s2=154 divide by 7 and s2=22 so since s1=37-s2(22) we get s1 is 15
answers younger sister 15
older sister 22
RELATED QUESTIONS
The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three... (answered by josgarithmetic,MathTherapy)
The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three... (answered by josgarithmetic)
The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three... (answered by ankor@dixie-net.com)
The sum of the ages of two sisters, Mary and Jane, is 24 years. Four years ago three... (answered by josgarithmetic)
the sum of the ages of two sister's is 37.the difference between four times the older... (answered by nerdybill)
The sum of bobs age and his sisters age is seventeen. Bobs age is one more than three... (answered by ikleyn)
The sum of the ages of two sisters Anna and Linda is 60years.if Anna is three times as... (answered by fractalier)
The sum of Emma’s age and her sisters age is 41 years older than her sister. What is... (answered by Edwin McCravy)
The average age of two sisters is three times the age of the younger one . in seven... (answered by josgarithmetic,Glaviolette,MathTherapy)