Question

If two numbers are respectively 25% and 40% less than the third number what is the ratio of these two numbers?​

Answer 1

Answer:

Answer

is

1/2 and 4/5

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Answer 2

The ratio of the two numbers is 5:4

Step-by-step explanation:

Given: Two numbers that are 25% and 40% less than a third number

To find: The ratio between the two numbers

Solution:

Let the three numbers be a, b and c.

According to the question,

• a is 25% less than c.

So the value of a = c - 25% of 'c'

$a = c - \frac{25}{100} \times c$

$a= c - \frac{c}{4}$

$a= \frac{4c - c}{4}$

$a= \frac{3c}{4}$

• Also, b is 40% less than c

So the value of b = c - 40% of 'c'

$b = c - \frac{40}{100} \times c$

$b = c - \frac{4c}{10}$

$b = \frac{10c - 4c}{10}$

$b = \frac{6c}{10}$

$b = \frac{3c}{5}$

• Finding the ratio = a:b

$a:b = (\frac{3c}{4})}:{(\frac{3c}{5})}$

$a:b = (\frac{1}{4})}:{(\frac{1}{5})}$

$a:b = 5:4$

Thus, the ratio of the two numbers is 5:4