Question 378241
  <pre><font size = 3 color = "indigo"><b>
Hi,
the sum of their ages is 55 years
Let x and (55-x) represent their ages now
{{{(6/5) = x/(55-x)}}}
cross multiply to solve for x
6(55-x) = 5x
6*55  -6x = 5x
6*55 = 11x
30 = x  Two suspects are 30 and 25 years old now.

Let y represent the number of years from now the ratio will be 8:7
(30+y)/(25+y) = 8/7  cross multiplying to solve for y
8(25+y) = 7(30+y)
8*25 + 8y = 7*30 + 7y
y = 210 - 200 = 10, the years from now the ratio will be 8:7