The sum of Sara's age and twice the age of her sister is 32. If we take three times the age of Sara’s sister and add it to Sara’s age is the sum is 40. Calculate their present ages.

Question

The sum of Sara's age and twice the age of her sister is 32. If we take three times the age of Sara’s sister and add it to Sara’s age is the sum is 40. Calculate their present ages.

Sara's Age =  

Sara's Sister Age =  

Answer 1

x + 2y = 32

x + 3y = 40

subtract 1st equation from the 2nd

x-x +3y-2y =40-32

y = 8 = sister's age

x =32 -2(8)= 16 = Sarah's age