Math, asked by nitish7002, 6 months ago

9 years hence, a girl will be 3 times as old as she was 9 years ago. How old is she now?​

Answers

Answered by Anonymous
5

\huge\sf\underline{\underline{\pink{ Answer:-}}}

The girl's present age is 18 years.

\Large{\underline{\underline{\bf{QuEsTiOn:-}}}}

9 years hence, a girl will be 3 times as old as she was 9 years ago. How old is she now?

\sf\underline{\underline{\green{TO \: FIND \: }}}

The girl's present age?

\huge\underline\mathbb{\red S\pink {0} \purple {L} \blue {UT} \orange {1}\green {ON :}}

  • Let the girl's present age be x years

  • Girl's age 9 years ago = x - 9 years

  • Girl's age 9 years hence = x + 9 years

\sf\underline{\underline{\green{</strong><strong>A</strong><strong>C</strong><strong>C</strong><strong>O</strong><strong>R</strong><strong>D</strong><strong>I</strong><strong>N</strong><strong>G</strong><strong> \: </strong><strong>TO</strong><strong> \:</strong><strong> </strong><strong>T</strong><strong>H</strong><strong>E</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> </strong><strong>QUESTION</strong><strong>,</strong><strong> </strong><strong>\</strong><strong>:</strong><strong> }}}

 =  &gt; x + 9 =  3 \: ( x - 9)

 =  &gt; x + 9 = 3x - 27

 =  &gt; 3x - x = 9 + 27

 =  &gt; 3x - x = 36

 =  &gt; 2x = 36

 =  &gt; x =  \frac{36}{2}

 =  &gt; x = 18

\sf\underline{\underline{\green{HENCE, \: }}}

The girl's present age is 18 years.

Answered by purkaitstuti
1

Step-by-step explanation:

please refer to the attachment

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