Question

Find two numbers whose sum is 100 and whose ratio is 9:16​

Answer 1

Answer :-

• The two numbers whose sum is 100 and ratio is 9 : 16 are 36 and 64.

To find :-

• Two numbers whose sum is 100 and whose ratio is 9 : 16.

Solution :-

• Here, we have to find two numbers whose sum is 100 using the ratio given to us.

Let :-

• The numbers be 9x and 16x since their ratio is 9 : 16.

It is given that :-

• Their sum is 100.

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Therefore,

$\longmapsto\bf9x + 16x = 100$

$\bf\longmapsto 25x = 100$

$\bf\longmapsto x = \dfrac{100}{25}$

$\longmapsto \underline{ \boxed{\bf x = 4}}$

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Hence, the two numbers are :-

$\sf9x = 9 \times 4 = 36.$

$\sf16x = 16 \times 4 = 64.$

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Know more :-

What is a ratio?

• A ratio is a comparison of measures of two or more quantities of the same kind by division.

For example, if a and b are two quantities of the same kind, then the fraction a/b is called the ratio of a to b. It is written as a : b.

Answer 2

Answer:

36 and 64

Step-by-step explanation:

let the first number be : 9k

the other number be : 16k

sum of both the numbers : 100

9k+16k=100

25k=100

k=4

smallest number : 9×4=> 36

largest number : 16×4=> 64

So , the two numbers are 36 and 64