Question

present age lf vatsala and sara are 14 years and 10 years respectively. after how many years the ratio of their ages will become 5:4

Answer 1

at present, Vatsala and Sara are 14 years and 10 years so,
Vatsala/Sara = 14/10............(1)
after some years ratio of Vatsala and Sara ages will become 5:4 so,
Vatsala/Sara = 5/4..............(2)
in (1) add some years by x
Vatsala/Sara = (14 + x)/(10 + x)...(3)
equate (2) and (3)
5/4=(14 + x)/(10 + x)
5(10 + x) = 4(14 + x)
50 + 5x = 56 + 4x
5x - 4x = 56 - 50
x = 6
after 6 years, Vatsala and Sara ages will become (14 + x : 10 + x = 14 + 6 : 10 + 6 = 20 : 16) 20 and 16

Answer 2

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