Ram's age = [tex]r[/tex]
Father's age = [tex]f[/tex]
Ram's age = 1/6th of his Father's age
[tex]r = \frac{1}{6}f[/tex]
Ram's age = Father's age - 35
[tex]f - r = 35[/tex]
[tex]-r = 35 - f[/tex]
[tex]r = -35 + f[/tex]
[tex]r = f - 35[/tex]
Since [tex]r = r[/tex], we can equate both equations with each other.
[tex]r = r = \frac{1}{6}f = f - 35[/tex]
[tex]\frac{1}{6}f = f - 35[/tex]
[tex]\frac{1}{6}f - f = -35[/tex]
[tex]-\frac{5}{6}f = -35[/tex]
[tex]f = -35 \div -\frac{5}{6}[/tex]
[tex]f = 42[/tex]
Thus, the Father's present age = 42 years
