Question

The present average age of a xouple and their daughter is 35 years . Fifteen years from now the age of mother will be equal to sum of present age of father and daughter.find present age of mother

Answer 1

Answer:

let father's age be x

daughter's age be y

mother's age = z

(x+y+z)/3= 35

x+y+z=105

z= 105-(x+y)

15 years hence

105-(x+y)+15 = x+y

120-x-y=x+y

2x+2y=120

/2

x+y=60

z= 105-60

z= 45 mothers age

Hope it helps

Answer 2

Answer: 45 yrs.

Step-by-step explanation:

let father's age be x

daughter's age be y  

mother's age = z  

(x+y+z)/3= 35  

x+y+z=105

z= 105-(x+y)

15 years hence  

105-(x+y)+15 = x+y  

120-x-y=x+y  

2x+2y=120

/2

x+y=60

z= 105-60

z= 45 mothers age