Question

Present age of mother is 48years and that of his daughter is 12years. Find the ratio of:

a) Age of the mother to the age of daughter when daughter is 8 years old.

b) Age of mother after 2 years to the age of daughter after 2years.

c) Age of mother to the age of daughter when the mother is 40 years​​

Answer 1

Answer:

a) 48/12 = 4/1 = 4:1 is the answer

b) 50/14 = 25/7 = 25:7 is the answer

Answer 2

Present

• Age of mother= 48 years
• Age of daughter= 12 years

________________________

a) Daughter age = 8 years

then,

➼Age gap between daughter present age and past age = 12-8 = 4 years

➼Mother age 4 years ago was= 48-4= 44 years

$\sf{➼Ratio \: of \: mother \: age \: to \: daughter \: age = \dfrac{44}{8} }$

$\sf{➼Ratio \: of \: mother \: age \: to daughter \: age = \dfrac{11}{2} }$

⚘Ratio of mother age to daughter age =11:2

_________________________

b) After 2 years

• Age of mother = 48+2 = 50 years
• Age of daughter= 12+2= 14 years

$\sf{➼Ratio \: of \: age \: of \: the mother \: to \: age \: of \: the \: daughter= \dfrac{50}{14} }$

$\sf{➼Ratio \: of \: age \: of \: the \: mother \: to \: age \: of \: the \: daughter=\dfrac{25}{7} }$

⚘Ratio of age of the mother to age of the daughter= 25:7

_________________________

c) Mother age = 40 years

➼Age gap between mother present age and past age = 48-40 = 8 years

➼Daughter age 8 years ago = 12-8 = 4 years

$\sf{➼Ratio \: of \: age \: of \: the \: mother \: to \: age \: of \: the \: daughter=\dfrac{40}{4}}$

$\sf{➼Ratio \: of \: age \: of \: the \: mother \: to \: age \: of \: the \: daughter=\dfrac{10}{1} }$

⚘Ratio of age of the mother to age of the daughter= 10:1

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