manaswinipanda680
manaswinipanda680 manaswinipanda680
  • 11-05-2021
  • Mathematics
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The ages of George and Genemy are in ratio 5:7 . Four years from now the ratio of their ages will be 3:4 .Find their present ages.​

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cwrw238 cwrw238
  • 11-05-2021

Answer:

Below in bold.

Step-by-step explanation:

Let x be George's age and y be Genemy's age.

x/y = 5/7

(x + 4)/ (y + 4) = 3/4

From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :

(x + 4)/ (1.4x + 4) = 3/4

3(1.4x + 4) = 4(x + 4)

4.2x + 12 = 4x + 16

0.2x = 16 -12 = 4

x = 4/0.2 = 20 = George's age.

So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.

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ems148 ems148
  • 11-05-2021
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