All categories

2 years ago

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]2 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.

You might be interested in

Please explain 10-15. Thank you

Reptile [31]

5 because 15 -10 is 5

4 0

3 years ago

Read 2 more answers

An office building has 23 offices. The floor area of each office is 305 square feet. Which shows the equation you can use to fin

Mumz [18]

Answer: D.23 x 305 = n, n = 7015

Step-by-step explanation:

23 x 305 = 7015

7015 square feet

3 0

3 years ago

What is the length of the major axis of the conic section shown below?

sveticcg [70]

$\dfrac{(x-2)^2}{49}+\dfrac{(y+5)^2}{36}=1$

The equation of a elipse:

$\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$

The length of the major axis is equal 2a if a > b or 2b if b > a.

We have

$a^2=49\to a=\sqrt{49}=7\\\\b^2=36\to b=\sqrt{36}=6\\\\a > b$

therefore the length of the major axis is equal 2 · 7 = 14.

7 0

3 years ago

What are the answers

Ray Of Light [21]

Answer:

Insert question here--->

Step-by-step explanation:

8 0

3 years ago

3tanx +cotx >5cscx, 0°<x<180°

Gnoma [55]

3+5+172=180 tancxkxkfk

6 0

3 years ago

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

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