OPG is a triangle. N is point on OG such that ON : NG = 2 : 3. OP = a, PG = b. Express ON in terms of A and B.

We would first like to find an expression for OG. We know that OG can be expressed as OG = OP + PG. Therefore OG = a + b Knowing the ratio ON:NG is 2 : 3, we can conclude that ON is (2/5)th of OGTherefore, ON = (2/5)(a + b)