document.write( "Question 1199026: Four years ago,a mother was 4 times as old as her son.In 4 years time, the sum of their ages will be 56years .Find the age of the mother when the son was born \n" ); document.write( "
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Four years ago,a mother was 4 times as old as her son.In 4 years time, the sum of their ages will be 56years .Find the age of the mother when the son was born
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Since the sum of their ages in 4 years' time will be 56, sum of their ages now is 56 - 2(4) = 56 - 8 = 48.\r\n" );
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document.write( "Four years ago, the sum of their ages was 48 - 2(4) = 48 - 8 = 40. Since at that time, the mother was 4 times\r\n" );
document.write( "as old as the son, and with the son's age being S at that time, we get: S + 4S = 40\r\n" );
document.write( "5S = 40\r\n" );
document.write( "Son's age then (4 years ago) was \"matrix%281%2C3%2C+40%2F5%2C+%22=%22%2C+8%29\", and mother's was, 40 - 8 = 32.\r\n" );
document.write( "Difference in their ages, 4 years ago, and as long as they're alive: 32 - 8 = 24\r\n" );
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document.write( "With the difference in their ages being 24, the mother was 24 when the son was born.
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