document.write( "Question 370006: Mr. and Mrs. Wang are both 40 years old. They have a pair of twin daughters and a son. The product of the ages of the children is 36. Find the possible ages of the children. \n" ); document.write( "

Algebra.Com's Answer #263764 by Earlsdon(6294) $\"\"$ $\"About$

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\n" ); document.write( "The product of their ages is 36.
\n" ); document.write( "They have a pair of twin daughters.
\n" ); document.write( "Mr. & Mrs. Wang are 40 years old.
\n" ); document.write( "What are the possible ages of the children?
\n" ); document.write( "Let's first find the factors of 36 which will represent the possible ages of the three children:
\n" ); document.write( "1*1*36 = 36
\n" ); document.write( "1*2*18 = 36
\n" ); document.write( "1*3*12 = 36
\n" ); document.write( "1*4*9 = 36
\n" ); document.write( "1*6*6 = 36
\n" ); document.write( "2*2*9 = 36
\n" ); document.write( "3*3*4 = 36
\n" ); document.write( "Now select from this list the entries that have double (twin) integers.
\n" ); document.write( "1*1*36 = 36
\n" ); document.write( "1*6*6 = 36
\n" ); document.write( "2*2*9 = 36
\n" ); document.write( "3*3*4 = 36
\n" ); document.write( "The first entry doesn't qualify because if the parents are 40, they would not have a child who is 36.
\n" ); document.write( "This leaves the remaining entries:
\n" ); document.write( "1, 6, and 6.
\n" ); document.write( "2, 2, and 9.
\n" ); document.write( "3, 3, and 4.
\n" ); document.write( "as the possible ages. \n" ); document.write( "

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