Explanation

Step-by-step explanation:

Let x , x+1, x+2, x+3 , x+4 are first consecutive numbers

Sum of five consecutive numbers = 60 (Given)

=> x+(x+1)+(x+2)+(x+3)+(x+4) = 60

=> 5x + 10 = 60

=> 5x = 60 - 10

=> 5x = 50

/* Divide each term by 5, and we get

=> x = 50/5

=> x = 10

Therefore,

First number = x = 10

Explanation

4:3:: x:12 the value of x is 16

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Explanation

x+y =13 if y=18 then x is -5

**

x+y =13

y=18
x + 18 = 13

x = 18-13

x= -5

Explanation

The sum of three consecutive numbers is given 2 is the difference between the first and third numbers

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Let the numbers bex,x+1  and  x+2  Then 

(x+2)−x=2

SH24-8-2023

Explanation

We know that, (a+b)² = a² + b² + 2ab

Now, we have,

(a+b)² + (a-b)²

= (a² + b² + 2ab) + [a² + (-b)² + 2a(-b)]

= a² + b² + 2ab + a² + b² - 2ab

= 2a² + 2b²

= 2(a²+b²)

Thus, we get,

(a+b)² + (a-b)² =     2(a²+b²).

Explanation

Explanation

Explanation

Solution for 4x+5 -17=0 equation

4x + 5 = 17

4x = 17 - 5

4x  = 12 (divide both sides by 4 to get x)

4x/4 = 12/4

x = 3

SH5-9-2023

Explanation

Thus, nth term = a+(n−1)

d=(p+q−1)+(n−1)×(−1)

d =(p+q−n)

Explanation

 option c x=5, y=4, z=3

ND12_8_2023