Question 1174209
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The other tutor showed a typical formal algebraic solution; you should certainly understand that method and know how to use it.<br>
Here is a less formal path to the solution using logical reasoning.  Solving a problem like this can give you very beneficial mental exercise.<br>
(1) The difference in their ages is (and always will be) 43-7 = 36 years.
(2) When John is 4 times as old as his daughter, the difference in their ages will be 3 times her age. (If we want to use a bit of very basic algebra here, we are saying 4x-x = 3x.)
(3) So when John is 4 times as old as his daughter, 3x=36 so x=12.<br>
That means he will be 4 times as old as her when she is 12 and he is 4*12 = 48.<br>
Since their ages are now 43 and 7, that will be 5 years from now.<br>
ANSWERS: 5 years from now their ages will be 12 and 48.<br>