Question

if the difference between the present age of a mother and her daughter is 20 years and the product of their age 44 years find the present age of mother and daughter
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Answer 1

Answer:

mother=22,son=2

Step-by-step explanation

product=44

therefore , factors of 44 is answer

2and22 are factor of 44

2+20=22

Answer 2

Answer:

your answer is as follows

pls mark it as brainliest

Step-by-step explanation:

$to \: find : \\ present \: ages \: of \: mother \: and \: \\ her \: daughter \\ \\ let \: the \: present \: ages \: of \: mother \: \\ be \: x \: years \: and \: that \: of \: her \\ daughter \: be \: y \: years \\ \\ according \: to \: first \: case \\ x - y = 20 \\ x = y + 20 \: \\ \\ according \: to \: second \: case \\ xy = 44 \\ \\ y(y + 20) - 44 = 0 \\ \\ y {}^{2} + 20y - 44 = 0 \\ \\ y {}^{2} + 22y - 2y - 44 = 0 \\ \\ y(y + 22) - 2(y + 22) = 0 \\ \\ (y + 22)(y - 2) = 0 \\ \\ y = - 22 \: \: or \: \: y = 2 \\ \\ since \: age \: is \: never \: negative \\ y = - 22 \: \: is \: absurd$

$substituting \: value \: of \: y \: in \\ x = y + 20 \\ we \: get \\ \\ x = 22$