Question

What must be added to each term of the ratio 2 : 3, so that it may become equal to 4 : 5?​

Answer 1

Answer:

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Step-by-step explanation:

Let the number to be added be x, then (2 + x) : (3 + x) = 4 : 5

⇒ (2 + x)/(5 + x) = 4/5

5(2 + x) = 4(3 + x)

10 + 5x = 12 + 4x

5x - 4x = 12 - 10

x = 2

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Answer 2

Answer:

Step-by-step explanation:

2 + x : 3 + x = 4 : 5

(2 + x)/(5 + x) = 4/5

by doing cross multiplication

5(2 + x) = 4(3 + x)

we get

10 + 5x = 12 + 4x

get the x terms on one side and constant terms on the other side

5x - 4x = 12 - 10

finally we get

x = 2