math
posted by kim .
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?

Let the integers be x and x/4.Then
x/4+12=x3 or x+48=4x12 by multiplying both sides by 4.
Or 3x=2048 or x=20 which is the larger integer. Smaller one is then 20/4=5.
Check:5+12=17=203 OK.