Question

the ages of Arpita and Beena are in the ratio 4:7. Eight years ago their ages were in the ratio 1:2. Find their present ages.

Answer 1

• present age ratio of Arpita and Beena = 4:7
• let present age of Arpita = 4x
• let present age of Beena =7x
• eight years ago age ratio of Arpita and Beena are 1:2
• first,

find age of both Arpita and Beena eight years ago

• eight years ago,

age of Arpita = 4x-8

age of Beena = 7x-8

• (4x-8):(7x-8) :: 1:2
• 2(4x-8) = 7x-8
• 8x-16 = 7x-8
• 8x-7x = -8+16
• x = 8

therefore,

present age of Arpita = 4x = 4×8 =32

present age of Beena =7x = 7×8 = 56

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Answer 2

Answer:

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