Question

how many chocolates did achala and shreya buy if the sum of the cubes of the chocolates they bought adds upto 189 and the result of subtracting the product of chocolates they bought from the sum of the squares of the chocolates bought by them is 21

Answer 1

Answer:

9 is the correct answer to this question.

189/21=9

Answer 2

Chocolates buy by achala and shreya =9

Given:

Sum of the cubes of the chocolates they bought adds up to 189.

Result of subtracting the product of chocolates they bought from the sum of the squares of the chocolates bought by them is 21.

Find:

How many chocolates did achala and shreya buy.

Formula used:

(A³ + B³) = (A + B) (A² + B² - A×B )

Explanation:

Consider,

• shreya buy chocolates = A
• achal  buy chocolates=B
• From given data (A³ + B³) = 189
• and (A² + B² - A×B ) =21

• As we  know,
• (A³ + B³) = (A + B) (A² + B² - A×B )

               189 =   (A + B) × 21

              (A + B) = 189 ÷ 21

              (A + B) = 9

Chocolates buy by achala and shreya =9

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