"Vidya" and "aalaya" are to be joined. Ravi writes "vidyaaaalaya", keeping both words exactly as…

Why

Ravi is joining the two words by simply placing them side by side, as if writing two separate words next to each other. But when one word ends in a vowel and the next begins with a vowel too, Hindi-Sanskrit tradition has the two vowels MERGE into a single new vowel — this is called sandhi (संधि). 'विद्या' ends in 'आ', and 'आलय' also begins with 'आ'; when 'आ' is followed by 'आ', the two merge into a single 'आ', not two separate ones — so 'विद्या'+'आलय' becomes 'विद्यालय' (vidyalaya), not 'विद्याआलय'. Test it: the same rule applies to 'हिम'+'आलय' — it becomes 'हिमालय' (himalaya), not 'हिमआलय'. His sister is right: when two vowels meet, they merge into a new combined form — that's sandhi, and the correct form is 'विद्यालय'.