The sum of two numbers, one of which is two-third of the other, is 45. find the smaller number

Mathematics

1 answer:

Travka [436]3 years ago

6 0

Step-by-step explanation:

The smaller number is 18.

Step-by-step explanation:

Let larger number = x and smaller number = \dfrac{2}{3} x32x

To find, the smaller number = ?

According to question,

x+\dfrac{2}{3} x=45x+32x=45

⇒ \dfrac{3x+2x}{3} =4533x+2x=45

⇒ 5x=45\times 35x=45×3

⇒ 5x=1355x=135

⇒ x =\dfrac{135}{5} =27x=5135=27

∴ Smaller number =\dfrac{2}{3} \times 27=2\times 9 =18=32×27=2×9=18

Hence, the smaller number is 18.

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