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प्रश्न
Three consecutive whole numbers are such that if they be divided by 5, 3 and 4 respectively; the sum of the quotients is 40. Find the numbers.
उत्तर
Let the three consecutive whole numbers be x, x + 1 and x + 2
According to the statement:
`"x"/5 + ("x" + 1)/3 + ("x" + 2)/4 = 40`
`=> "x"/5 xx 60 + ("x" + 1)/3 xx 60 + ("x" + 2)/4 xx 60 = 40 xx 60` ....[Multiplying each term by 60 because L.C.M. of denominators = 60]
⇒ 12x + 20(x + 1) + 15(x + 2) = 2400
⇒ 12x +20x + 20 + 15x + 30 = 2400
⇒ 12x + 20x + 15x = 2400 - 20 -30
⇒ 47x = 2350
⇒ x = `2350/47`
x = 50
x + 1 = 50+1 = 51
x + 2 = 50 + 2 = 52
Three consecutive whole numbers are 50, 51 and 52
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