Question 1147795
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(1) Algebra....<br>
let x be his sister's age
then x+8 is his age<br>
His sister's age 3 years from now will be x+3; his age 3 years from now will be x+11.<br>
3 years from now, his age will be twice his sister's age:<br>
{{{x+11 = 2(x+3)}}}<br>
Solve using basic algebra (I leave that to you).<br>
(2) Logical reasoning....<br>
Since the difference in their ages is 8 years, Frank will be twice as old when he is 16 and his sister is 8.  Since that will be 3 years from now, their current ages are 13 and 5.<br>