සා/පෙළ ගණිතය 2022 ප්‍රශ්න පත්‍රය

Workers needed to finish a job in fewer days

පිළිතුර: 16 men

💡 ප්‍රශ්නයේ අදහස: කාර්යය මිනිස් දිනවලින් ගණන් කර දින 3 කට බෙදන්න.

1. 1කාර්යය = 12 × 4 = මිනිස් දින 48.
2. 2දැන් කාර්යය දින 3 කින් අවසන් විය යුතුයි.
3. 3අවශ්‍ය මිනිසුන් = 48 ÷ 3 = 16.

✅ 16 × 3 = මිනිස් දින 48. එකම කාර්යය.

Solve an equation with algebraic fractions

පිළිතුර: x = 2

💡 ප්‍රශ්නයේ අදහස: වම් පස භාග දෙකට පොදු හරයක් දී එකතු කර 1/12 සමඟ සසඳන්න.

1. 1එවිට: 1/2x = 3/6x, 1/3x = 2/6x.
2. 2එවිට: 3/6x − 2/6x = 1/6x.
3. 31/6x = 1/12 නිසා 6x = 12, x = 2.

✅ පරීක්ෂාව: x = 2: 1/4 − 1/6 = 1/12.

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