document.write( "Question 1096087: Vijay said to sangeetha when i was 1/3rd of your age you were 1/4th of my age if their combined age is 62 what is the difference between their ages \n" ); document.write( "

Algebra.Com's Answer #710585 by htmentor(1343) $\"\"$ $\"About$

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Let S = Sangeetha's current age
\n" ); document.write( "Let V = Vijay's current age
\n" ); document.write( "Then Sangeetha's current age = 62 - V
\n" ); document.write( "The important thing to realize is that the difference in their ages always remains the same.
\n" ); document.write( "Thus the difference in their ages when Vijay was 1/3 of Sangeetha's age and
\n" ); document.write( "Sangeetha was 1/4 of Vijay's age is the same as today.
\n" ); document.write( "The difference in their ages is V - S = V - (62 - V) = 2V - 62
\n" ); document.write( "So when Vijay was S/3 and Sangeetha was V/4, their age difference was 2V - 62
\n" ); document.write( "Thus we can write the following equation:
\n" ); document.write( "S/3 - V/4 = 2V - 62
\n" ); document.write( "(62 - V)/3 - V/4 = 2V - 62
\n" ); document.write( "To eliminate fractions, multiply through by 12:
\n" ); document.write( "248 - 4V - 3V = 24V - 744
\n" ); document.write( "Solve for V:
\n" ); document.write( "31V = 992
\n" ); document.write( "V = 32
\n" ); document.write( "Hence S = 30
\n" ); document.write( "The difference in their ages is 2 years.
\n" ); document.write( "Check: Vijay was 30/3 = 10 when Sangeetha was 32/4 = 8 \n" ); document.write( "

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