The greater of the two numbers whose product is 900 and

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The greater of the two numbers whose product is 900 and sum exceeds their difference by 30 is

Let the numbers be p and q . where p > q.
According to the question,
(p + q) – (p – q) = 30
⇒ p + q – p + q = 30
⇒ 2q = 30

⇒ q =	30	= 15
	2

∴ pq = 900
⇒ 15p = 900

⇒ p =	900	= 60
	15