Question

The sum of the present ages of mother and her daughter is 50 years . After 20 years, mother's age will be twice her daughter's age at that time.find their present ages

Answer 1

Answer:

mother = 40 years

daughter = 10 years

Step-by-step explanation:

Let present age of mother be x and present of her daughtet be y

Now, According to the problem,

$x + y = 50 \\ x = 50 - y \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (1) \\ and \: \\ (x + 20) = 2(y + 20) \\ (50 - y + 20) = 2y + 40 \: \: \: \: \: \: \: \: \: \: \: \: (putting \: value \: of \: x \: from \: equation \: 1 \\ 70 - y = 2y + 40 \\ 70 - 40 = 2y + y \\ 30 = 3y \\ y = 10 \: years \\ on \: substituting \: y \: in \: equation \: 1 \\ x = 50 - 10 \\ x = 40 \: years \\ present \: age \: of \: the \: mother \: is \: 40 \: years \: and \: of \: her \: daughter \: is \: 10 \: years$