What will be the age of Ram 5 years from now? I. Ram is 25 years younger than…

Concept: In Data Sufficiency, a statement (or combination of statements) is sufficient only when it pins down a single, unique numerical value for the exact quantity the question asks for. If a statement leaves more than one unknown unresolved, it is not sufficient on its own, and the statements are combined only when neither one alone suffices.

1. Statement I alone: gives Ram's age = Father's age minus 25, today. This is one relationship connecting two unknown ages, so it does not fix a numerical value for either person -- insufficient by itself.

2. Statement II alone: Father was 45 years old five years ago, so Father's age today = 45 + 5 = 50 years. This fixes the father's age but says nothing about how Ram's age relates to it -- insufficient by itself.

3. Combining both: substituting the father's present age from Statement II into the relationship from Statement I gives Ram's present age = 50 minus 25 = 25 years, so Ram's age five years from now = 25 + 5 = 30 years -- a unique value obtained only when both statements are used together.

Cross-check: if Ram is 25 now and the father is 50 now, the father is indeed 25 years older than Ram (matches Statement I), and five years ago the father was 50 minus 5 = 45 (matches Statement II) -- both conditions hold simultaneously, confirming the combined reading is consistent and that neither statement alone could have produced this pair of ages.

So Statement I alone is not sufficient, Statement II alone is not sufficient, but the two statements together are sufficient -- the correct choice is that both statements together are sufficient while neither is sufficient alone.