document.write( "Question 522650: Jaya is 10 yrs younger than Sid. If you increase both of their ages by 20 %, the difference between their ages is 18 less than Jayas current age. How old is Sid? \n" ); document.write( "
Algebra.Com's Answer #346949 by Maths68(1474)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Let \n" ); document.write( "Current age of Jaya = j \n" ); document.write( "Current age of Sid = s\r \n" ); document.write( "\n" ); document.write( "Jaya is 10 yrs younger than Sid\r \n" ); document.write( "\n" ); document.write( "s=j+10..............(1)\r \n" ); document.write( "\n" ); document.write( "increase both of their ages by 20 % \n" ); document.write( "Sid = s * 20/100 = s/5 \n" ); document.write( "Jaya = j * 20/100 = j/5 \n" ); document.write( "Then \n" ); document.write( "Jaya will be = j + j/5 = (5j + j)/5 = 6j/5 \n" ); document.write( "Sid will be = s + s/5 = (5s+s)/5 = 6s/5\r \n" ); document.write( "\n" ); document.write( "The difference between their ages is 18 less than Jayas current age. \n" ); document.write( "The difference between their ages is 18 less than Jayas current age. \n" ); document.write( "6s/5-6j/5 = 18-j \n" ); document.write( "Multiply by 5 both sides of the equation \n" ); document.write( "6s-6j=90-5j \n" ); document.write( "6s-6j+5j=90 \n" ); document.write( "6s-j=90................(2) \n" ); document.write( "Put the value of s from (1) to (2) \n" ); document.write( "6(j-10)-11j=90 \n" ); document.write( "6j-60-j=90 \n" ); document.write( "5j=90+60 \n" ); document.write( "5j=150 \n" ); document.write( "5j/5=150/5 \n" ); document.write( "j=30 \n" ); document.write( "Put the value of j in (1) \n" ); document.write( "s=j+10 \n" ); document.write( "s=30+10 \n" ); document.write( "s=40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Current age of Jaya = j = 30 \n" ); document.write( "Current age of Sid = s = 40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Check \n" ); document.write( "====== \n" ); document.write( "If you increase both of their ages by 20 %, the difference between their ages is 18 less than Jayas current age\r \n" ); document.write( "\n" ); document.write( "(40+40(20/100)) - (30+30(20/100)) = 30-18 \n" ); document.write( "(40+40(1/5))-(30+30(1/5))=12 \n" ); document.write( "(40+8)-(30+6)=12 \n" ); document.write( "48-36=12 \n" ); document.write( "12=12\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |