Math, asked by kavehlalkaka, 3 months ago

Amit is 24 years older than his son. after 11 years, he will be thrice the age of his son. find the age of the son two years from now.
pls give a step by step explanation first ans iis brainliest

Answers

Answered by MrAnonymous412
40

 \underline{ \large \:  \textbf{SolutiOn :- }}

  \\  \:  \:  \:  \: \:  \:  \:  \:  \sf \: Let \:  us  \:  \: say  \: son's  \: current  \: age \:  be  \: x  \: , \\

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \sf \: Amit's \:  age  \: be   \: \bold  \red{y } \: years

 \\  \:  \:  \frak{hence} \\

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \sf \: y \:  = 24 + x................(1)

 \\  \:  \:  \frak Now,  \\

 \sf \: After  \: 2  \: years , \\ \\   \sf \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:Amit's age  = y + 2 , \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \sf \: son's age = x + 2

 \\  \:  \sf \: As  \: per  \: the  \: statement  \: given , \:  y + 2=2( x + 2 ) \\

 \:  \:  \:  \:  \:  \:  \sf \: so \: , \: y \:  = 2x + 4 - 2

 \:  \:  \:  \:  \sf \: y \:  = 2x + 2...............(2)

 \:  \:  \sf \: so, \: y \:  = 24 + x(from \: 1) = 2 x  + 2(from \: 2)

 \sf \: That\: is , 24x + 2 - x  \\  \\  \sf\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  :\implies\:24 = x + 2  \\  \\  \sf\:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  :   \implies\:  \:  x =24 - 2  \\   \\ \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed{ \underline\frak{ \pink { x = 22 }}} \\  \\

 \:  \underline{ \sf \: So ,  \: son's  \: age \:  is \:  22 \:  years \: }

 \sf \:  \:  \:  \: \therefore  \:  \: father's  \: age \:  = \:  twice  \: of \:  his  \: son  \:  \\  \\  \sf\:  \:  \:  \: \:  \: \:  \: \:  \:  \:  \:  \:  \:\:  \:  \:  \: \:  \: \:  \:  :  \implies \:   24 + x \\  \\  \sf \:  \:  \:  \:  \:  \:  :  \implies \:   24 + 22 \\ \\ \:  \: \:  \: \:  \:  \:  \:  \:  \:\:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:\:  :  \implies \:  \underline {\boxed {\frak{ \pink{48 \:  years}}}}

  \color{navy}\sf \underline{So,  \: the  \: father's \:  and  \: son's  \: age  \: is \:  \purple{ 22 } \: and  \:  \purple{48  }\: respectively  \: .}

Similar questions