jac9ke6ydandmamayaQ
jac9ke6ydandmamayaQ jac9ke6ydandmamayaQ
  • 22-09-2016
  • Mathematics
contestada

there are two natural numbers. one exceeds the other by 40. if the ratio of the two numbers is 7 : 3, find the numbers.

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nobillionaireNobley
nobillionaireNobley nobillionaireNobley
  • 25-09-2016
Let the two numbers be x and x + 40, then
7/3 = (x + 40)/x
7x = 3(x + 40) = 3x + 120
7x - 3x = 120
4x = 120
x = 120/4 = 30

Therefore, the two numbers are 30 and 70.
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