document.write( "Question 187187: a boy is 8 years older than his siter in ten years time, the ratio of their ages will be 3:2.what is the boys present age.
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Algebra.Com's Answer #140324 by uday1435(57)![]() ![]() You can put this solution on YOUR website! Let the boy is b years and his sister s years \n" ); document.write( "Given b = s + 8 ---- eqn (1) \n" ); document.write( "After 10 years boy’s age = b+10 and his sister’s age = s+10 \n" ); document.write( "Given (b+10)/(s+10) = 3/2 \n" ); document.write( "Cross multiplying we get \n" ); document.write( "2(b+10) = 3(s+10) \n" ); document.write( "2b + 20 = 3s + 30 \n" ); document.write( "2b – 3s = 10 plugging in the value of b from eqn(1) we get \n" ); document.write( "2(s+8) – 3s = 10 \n" ); document.write( "2s + 16 – 3s = 10 \n" ); document.write( "So - s = - 6 therefore the sister is 6 years old and the boy is( 6+8 )= 14 years old\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you still require further clarifications please write to udayakumar.t.r@gmail.com \n" ); document.write( " \n" ); document.write( " |