Question

Complete the series
49:593::64:?

Answer 1

Answer:

365

Step-by-step explanation:

49-64

9-6

593-365

9-6

Answer 2

Answer:

Required number is 762.

So,49:593::64:762.

Step-by-step explanation:

Given, 49:593::64:?

This is a problem of General inteligence part of Mathematics.

If we look the given sum carefully then we can notice that here all numbers have a relation.

Here,

$49 = {7}^{2} : {7}^{3} + 250 = 343 + 250 = 593$

So,

$64 = {8}^{2} : {8}^{3} + 250 = 512 + 250 = 762$

Therefore required number is 762.

This is a problem of Mathematics.

Some important Mathematics formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Two more important Mathematics problems,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549