1.

The present age of saheel's mother is 3 times the present age of Sahil. After 5 years their ages will add to 66 years. Find their present ages.1 point

Answer»

\sf\large\underline\blue{Let:}

\tt{\implies The\: present\:age\:_{(Saheel's\:<klux>MOTHER</klux>)}=x}

\tt{\implies The\: present\:age\:_{(saheel)}=y}

\sf\large\underline\blue{To\: Find:}

\tt{\implies The\: present\:age\:_{(saheel\:and\:mother)}=?}

\sf\large\underline\blue{Solution:}

  • To calculate the present age of Saheel and his mother at FIRST we have to set up equations as per the given CLUE in the question then solve those equation after that we get their parent age]

\sf\small\underline\purple{Given\:in\:case\:(1):}

  • The present age of Saheel's mother is 3 TIMES the present age of Sahil]

\tt{\implies Mother's\:age=3\times\:of\:saheel's\:age}

\tt{\implies x=3y--------(1)}

\sf\small\underline\purple{Given\:in\:case\:(2):}

  • After 5 YEARS their ages will be equal to 66 years.]

\tt{\implies (x+5)+(y+5)=66}

\tt{\implies x+y+10=66}

\tt{\implies x+y=66-10}

\tt{\implies x+y=56------(2)}

  • Putting the value of x=3y in EQ (2) here:]

\tt{\implies x+y=56}

\tt{\implies 3y+y=56}

\tt{\implies 4y=56\implies y=14}

  • Putting the value of y=14 in eq (2) ]

\tt{\implies x+y=56}

\tt{\implies x+14=56}

\tt{\implies x=56-14\implies x=42}

\sf\large{Hence,}

\tt{\implies The\: present\:age\:_{(Saheel's\:mother)}=42\: years}

\tt{\implies The\: present\:age\:_{(Saheel)}=14\: years}



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