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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