document.write( "Question 1044715: Mother's age is 4 times as much as the sum of the ages of her three children, but after six years her age will be only double the sum of their ages.The age of the mother is? \n" ); document.write( "

Algebra.Com's Answer #660073 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "Mother's age is 4 times as much as the sum of the ages of her three children, but after six years her age will be only double the sum of their ages.The age of the mother is?
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Let mother's age be M, and sum of children's ages, S
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document.write( "Then we get: M = 4S =====> 
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document.write( "Also, M + 6 = 2(S + 6 * 3)______M + 6 = 2S + 36____M = 2S + 30 ------ eq (ii)
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document.write( " ---- Substituting  for S in eq (ii)
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document.write( "2M = M + 60 -------- Multiplying by LCD, 2
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document.write( "2M - M = 60 
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document.write( "Mother's age, or  \n" );
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