Math, asked by missdoll30, 5 months ago

Aman's age is three times his son's.Ten years ago he was five times his son's age. find their present ages​

Answers

Answered by gitanjali4922
16

\huge\underbrace\bold\red{\:\:\:\:\:ANSWER\:\:\:\:}

\color{red}\underline\bold</p><p>{†GIVEN†}

 \color{blue}</p><p>{●</p><p></p><p>Aman's \:  age \:  is \:  three \:  times \:  his  \: son.</p><p> } \\ \color{blue}</p><p>{ ●Ten  \: year \:  ago \:  Aman's \:  age  .} \\ \color{blue}{  \: was \: \: five \: times \: his \: son}

\color{red}\underline\bold</p><p>{†TO  \: FIND †}

\color{blue}</p><p>{●Their \: present \: age \: .}

\color{red}\underline\bold</p><p>{†   \: SOLUTION \:  †}

\color{blue}</p><p>{Let \: the \: peseent \:age \: of \: Aman's \: son \: b \: x }\\

\color{blue}{Then \: the \: age \: of \: Aman = 3x}

\color{blue}{Their \: ages \: before \: 10 \: \: year \: } \\ \color{blue}{Aman's \: ag e \:  =3 x - 10} \\ \color{blue}{Aman's  \: son \: \: ag e \:  = x - 10}

\color{blue}\bold</p><p>{A/q}

\\ \color{blue}</p><p>{Aman's \: age \: before \: 10  \: year \:  = 5 \: times \:his \: son \: age\:before \:10\: year }

\color{blue}</p><p>{ =  &gt; 3x - 10 =5 (x - 10)}  \\ \color{blue}{ =  &gt; 3x - 10 = 5x - 50} \\ \color{blue}{ =  &gt; 3x - 5x =  - 50 + 10} \\ \color{blue}{ =  &gt;  - 2x =  - 40} \\ \color{blue}{ =  &gt; x =  - \frac{ - 40}{ - 2} } \\ \color{blue}{ =  &gt; x = 20}

\color{darkgreen}{By \: putting \: the \: value \: of \: x} \\ \color{darkgreen}{Aman's  \: present\: age } \\ \color{darkgreen}{   \:  = (3 \times 20) = 60\:years} \\  \\ \color{darkgreen}{Aman's \: son \:   \: present\: age  } \\ \color{darkgreen}{} = 20\:years

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