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x and y are two positive numbers such that their sum is 640. If x is 100 greater than y. Find x and y.
According to the question,
⠀⠀⠀⠀⠀⠀x + y = 640 ---------(i)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀and
⠀ ⠀⠀⠀ ⠀ x = y + 100
⠀⠀ ⠀⠀ ⟹ x - y = 100 --------(ii)
⠀⠀ Adding eqn (i) and (ii),
⠀⠀ x + y + x - y = 640+100
⠀⠀ ⟹ 2x = 740
⠀⠀ ⟹ x = 370 Ans.
Putting the value of x in eqn (i),
⠀⠀
⠀⠀ x + y = 640
⠀⠀ ⟹ 370 + y = 640
⠀⠀ ⟹ y = 270 Ans.
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