Question

the ratio between two numbers is 11:9. If the sum of these two numbers is 40, what

is the product

a. 396
b. 432
c. 400
d.384
please choose the correct answer fast​

Answer 1

★ How to do :-

Here, we are given with the ratio of two numbers in whivh there sum adds up to 40. We are asked to find the product of the two numbers which adds up to 40. Here, we aren't given with the specific two numbers in which, first we should find the value of those two numbers with the help of the given ratio and their sum. We find the two numbers by some other concepts such as variables. We should also shift the numbers from one hand side to other, which changes it's sign. So, let's solve!!

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➤ Solution :-

${\tt \leadsto 11 : 9 = 40}$

Insert a variable x to both part of ratio and add them.

${\tt \leadsto 11x + 9x = 40}$

Add both numbers having same variables.

${\tt \leadsto 20x = 40}$

Shift the number 20 from LHS to RHS, changing it's sign.

${\tt \leadsto x = \dfrac{40}{20}}$

Simplify the fraction to get the value of x.

${\tt \leadsto x = \cancel \dfrac{40}{20} = 2}$

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Value of first part of ratio :-

${\tt \leadsto 11x = 11 \times 2}$

${\tt \leadsto 22}$

Value of second part of ratio :-

${\tt \leadsto 9x = 9 \times 2}$

${\tt \leadsto 18}$

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Product of those two values :-

${\tt \leadsto 22 \times 18}$

${\tt \leadsto \pink{\underline{\boxed{\tt 396 - - - - - \sf (Option \: A)}}}}$

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$\Huge\therefore$ The product of those two values is 396 (Option A).

Answer 2

Answer:

• a. 396

Step-by-step explanation:

Given

• Ratio of two numbers = 11 : 9
• Sum of these two numbers = 40

To find

• Product of these two numbers.

Solution

↪ Let the numbers be 11x and 9x where x is any number.

ATP :

• 11x + 9x = 40
• 20x = 40
• x  40/20
• x = 4/2
• x = 2

Numbers are :

• 11x = 22
• 9x = 18

Their product :

• 11x × 9x
• 22 × 18
• 396

∴ Product of the two numbers is 396.