document.write( "Question 511349: The ages of Ashley and Mary are in the ratio 4:7. The sum of their ages is 22. Find the ages of Ashley and Mary. \n" ); document.write( "
Algebra.Com's Answer #342174 by Maths68(1474)\"\" \"About 
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Let
\n" ); document.write( "Present age of Ashley =a
\n" ); document.write( "Present age of Mary =m\r
\n" ); document.write( "\n" ); document.write( "The ages of Ashley and Mary are in the ratio 4:7.
\n" ); document.write( "a:m=4:7
\n" ); document.write( "a/m=4/7
\n" ); document.write( "a=4m/7…………………….(1)
\n" ); document.write( "The sum of their ages is 22
\n" ); document.write( "a+m=22
\n" ); document.write( "a=22-m……………(2)
\n" ); document.write( "Put the value of a from (1) to (2)
\n" ); document.write( "a=22-m
\n" ); document.write( "4m/7=22-m
\n" ); document.write( "4m=7*(22-m)
\n" ); document.write( "4m=154-7m
\n" ); document.write( "4m+7m=154
\n" ); document.write( "11m=154
\n" ); document.write( "m=154/11
\n" ); document.write( "m=14
\n" ); document.write( "Put the value of m in (2)
\n" ); document.write( "a=22-m……………(2)
\n" ); document.write( "a=22-14
\n" ); document.write( "a=8
\n" ); document.write( "Present age of Ashley =a=8
\n" ); document.write( "Present age of Mary =m=14
\n" ); document.write( "Check
\n" ); document.write( "The ages of Ashley and Mary are in the ratio 4:7.
\n" ); document.write( "a:m=4:7
\n" ); document.write( "8:14=4:7
\n" ); document.write( "4:7=4:7
\n" ); document.write( "The sum of their ages is 22
\n" ); document.write( "a+m=22
\n" ); document.write( "8+14=22
\n" ); document.write( "22=22
\n" ); document.write( " \n" ); document.write( "
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