Kavi and Kural each had a number of apples. Kavi said to Kural “If you give me 4 of your apples, my number will be thrice yours”. Kural replied, “If you give me 26, my number will be twice yours”. How many did each have with them?.

Let Kavi has x apples and Kural has y apples.

According to Kavi’s statement,

We can write

x + 4 = 3(y – 4)

x + 4 = 3y – 12

⇒ x = 3y – 16…..(1)

According to Kural’s statement

y + 26 = 2(x – 26)

y + 26 = 2x – 52…….(2)

Substituting the value of x from eq(1) in eq(2)

y + 26 = 2(3y – 16) – 52

⇒ y + 26 = 6y – 32 – 52

⇒ y + 26 = 6y – 84

⇒ 5y = 110

⇒ y = 22

Substituting value of y in eq(1)

x = 3×22 – 16

⇒ x = 50

Hence, Kavi has 50 apples and Kural has 22 apples.