In a family the father took 1/4 of the cake and had 3 times as much as each of the other members had. The total number of family member is-

Question: In a family, the father took 1/4 of the cake and had 3 times as much as each of the other members had. The total number of family member is-

Solution:
ধরি, বাবা সহ পরিবারের সদস্য সংখ্যা x জন
কেক এর পরিমাণ 100 একক

বাবা কেক নিয়েছে = 100 × 1/4 = 25
বাকি আছে = (100 - 25)/x
= 75/x

ATQ,
25 = 3 × 75/x
⇒ 25x = 3 × 75
⇒ x =(3 × 75)/25
⇒ x = 9

∴ বাবা সহ পরিবারের সদস্য সংখ্যা = 9 + 1 = 10.