Question

The difference between two whole numbers is 66. The ratio of the two numbers is 2:5. What are the two numbers.
a) 110,44
b) 120,54
c) 140,74
d)none of the above​

Answer 1

Answer:

(a)

Step-by-step explanation:

let the common ratio be x

given-

5x-2x=66

3x=66

x=66/3

x=22

now 2x = 2 x 22 = 44

and 5x = 5 x 22 = 110

(a) is correct!

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Answer 2

$let \: the \: 2 \: whole \: numbers \: be : \\ 2n \: and \: 5n. \\ \\ (according \: to \: question) : \\ \\ 5n - 2n = 66 \\ 3n \: \: \: \: \: \: \: \: \: \: = 66 \\ n \: \: \: \: \: \: \: \: \: \: \: \: = \frac{66}{3} = 22 \\ \\ \\ \\ hence \: the \: ratio \: is \: = \\ (2 \times 22):(5 \times 22) \\ 44: 110 \\ \\ \\ \\ hope \: it \: hepls \: you...$

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