document.write( "Question 1119162: a woman is older dan her daughter by 15 yrs, 10 yrs ago the ratio of their age was 4,1 find thier present age \n" ); document.write( "

Algebra.Com's Answer #734630 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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a woman is older than her daughter by 15 yrs,
\n" ); document.write( "w = d + 15
\n" ); document.write( " 10 yrs ago the ratio of their age was 4:1
\n" ); document.write( " $\"%28w-10%29%2F%28d-10%29\"$ = $\"4%2F1\"$
\n" ); document.write( "Cross multiply
\n" ); document.write( "w - 10 = 4(d-10)
\n" ); document.write( "w - 10 = 4d - 40
\n" ); document.write( "w = 4d - 40 + 10
\n" ); document.write( "w = 4x - 30
\n" ); document.write( "Replace w with (d+25) from the first statement
\n" ); document.write( "d + 15 = 4d - 30
\n" ); document.write( "d - 4d = -30 -15
\n" ); document.write( "-3d = -45
\n" ); document.write( "d = -15/-3
\n" ); document.write( "d = +15 is the daughter's age
\n" ); document.write( "find w
\n" ); document.write( "w = 15 + 15
\n" ); document.write( "w = 30 is the woman's age
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check by finding the ratio of their ages 10 ears ago: 20:5 = 4:1\r
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