Sum of ages of father and son is $70$ years. $7$ years ago, ratio was $5:2$. The ratio of their ages after $5$ years from now is—

Seven years ago the sum was $70-14 = 56$, split $5:2$ into $40$ and $16$. So now they are $47$ and $23$, and after $5$ years they become $52$ and $28$, giving $52:28 = 13:7$.