First condition: (x−50)(y+50)=xy⇒xy+50x−50y−2500=xy⇒x−y=50. Second condition: (x−10)(y−20)=xy−5300⇒xy−20x−10y+200=xy−5300⇒20x+10y=5500⇒2x+y=550. So the equations are x−y=50 and 2x+y=550.
The length (x) and breadth (y) of plot satisfy equations:
CUET UG 2022 — Mathematics Algebra
2022mcqmedium
The length (x) and breadth (y) of plot satisfy equations:
Official previous-year question
Held on 10 Aug 2022 · Verified 13 Jul 2026.
Options
- A
x−y=50, 2x−y=550
- B
x−y=50, 2x+y=550
- C
x+y=50, 2x+y=550
- D
x+y=50, 2x+y=550
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