Q. 44.0( 8 Votes )

# 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?.

Answer :

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.

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The solution of 2 – x <5 is

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