Question

Two numbers are in the ratio 2:3. The larger number is 30 more than half of the smaller number.Find the numbers.

Answer 1

Ratio =: 2 : 3 (Given)

Define x:

Let x be the constant ratio

Ratio =: 2x : 3x

Form equation and solve x:

The larger number is 30 more than half the smaller number

3x = 1/2 (2x)  + 30

3x = x + 30

2x = 30

x = 15

Find the numbers:

2x = 2 (15 ) = 30

3x = 3(15) = 45

Answer: The numbers are 30 and 45

Answer 2

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