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)\"\" \"About 
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\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
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\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
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