In a rehabilitation programme, 50 families were assured new houses and compensation. Families who got both equals those who got neither. Number who got houses is 6 more than those who got compensation. How many families got houses?

✅ Correct Answer: 28

Explanation

Let houses=x, compensation=(x−6), both & neither=y. Then x+(x−6)−y+y=50 ⇒ 2x−6=50 ⇒ x=28.

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In a rehabilitation programme, 50 families were assured new houses and compensation. Families who got both equals those who got neither. Number who got houses is 6 more than those who got compensation. How many families got houses? | ACME Academy