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1. The greater of two integers is 4 times the lesser. Of the lesser integer is increased by 12, the result is 3 less than the greater.Find the integers.

2. Tom is three times as old as Leigh Ann. In 7 years, the sum of half of Tom's present age and a third of Leigh Ann's age will be the same as Tom's age now. How old will Tom be in 7 years?

  • math - ,

    Let the integers be x and x/4.Then
    x/4+12=x-3 or x+48=4x-12 by multiplying both sides by 4.
    Or -3x=-20-48 or x=20 which is the larger integer. Smaller one is then 20/4=5.
    Check:5+12=17=20-3 OK.

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