Question

The ratio of two numbers is 4 : 7. If their sum is
319, then what are the numbers ?
(A) 112 and 207 (B) 108 and 211
(C) 116 and 203 (D) 120 and 199

Answer 1

Step-by-step explanation:

Let the numbers be 4x and 7x

Its said in the question that the two numbers' sum is 319

∴ 4x + 7x = 319

⇒ 11x = 319

⇒ x = 319/11 (by transposition)

⇒ x = 29

So the numbers will be:

4x = 4 X 29 = 116

7x = 7 X 29 = 203

The numbers will be 116 and 203

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Answer 2

Answer:

(C) 116 and 203

Step-by-step explanation:

Let the constant of the ratios be x

Therefore, 4x + 7x = 319

11x = 319

x = 319/11

x = 29

So, 4x = 29*4 = 116

7x = 29*7 = 203