document.write( "Question 875146: please help me solve this question-I have three children. The youngest is the same age as the first digit in my age another is the same age as the second digit in my age, and the third is the same age as the sum of the two digits in my age. The total of our ages is 33. How old am I? \n" ); document.write( "
Algebra.Com's Answer #528029 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! I have three children. \n" ); document.write( " The youngest is the same age as the first digit in my age \n" ); document.write( " another is the same age as the second digit in my age, \n" ); document.write( " and the third is the same age as the sum e two digits in my age. \n" ); document.write( " The total of our ages is 33. How old am I? \n" ); document.write( ": \n" ); document.write( "let a = the 1st digit of your age \n" ); document.write( "let b = the 2nd digit \n" ); document.write( "then \n" ); document.write( "10a+b = your age \n" ); document.write( ": \n" ); document.write( "\"third is the same age as the sum 0f the two digits in my age\" \n" ); document.write( "a+b = third child's age \n" ); document.write( ": \n" ); document.write( "\"The total of our ages is 33\" \n" ); document.write( "10a+b + a + b + a+b = 33 \n" ); document.write( "12a + 3b = 33 \n" ); document.write( "simplify, divide by 3 \n" ); document.write( "4a + b = 11 \n" ); document.write( "b = -4a + 11 \n" ); document.write( "From this, we can see a has to be 1 or 2, b can't be a neg number \n" ); document.write( "Also a has to be 2 since you are an adult and the total is 33 \n" ); document.write( "So we have: \n" ); document.write( "a = 2 yrs 1st child \n" ); document.write( "b = 3 yrs 2nd child \n" ); document.write( "a+b= 5 yrs 3rd child \n" ); document.write( "2(10)+3 = 23 yrs is your age \n" ); document.write( "-------------- \n" ); document.write( "total is 33\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |