Question

the difference between squares of two consecutive even numbers is 36 Find the numbers. 2) The difference between the squares of two consecutive odd numbers is 56 Find the numbers
please answer.​

Answer 1

Let the two consecutive even numbers be x and x+2

(X+2) ^2-x^2=36

X^2+4x+4-x^2=36

4x+4=36

4x=32

X=8;

X+2=10

Answer 2

Answer:

1.   let one number be x. Thus it's successor will be x+1.

(x+1)^2 - x^2=141

x^2+2x+1-x^2 = 141

2x = 141 - 1

2x = 140

x = 70

Thus the two numbers are 70 & 71 (i.e x+1).

3.Let the numbers be x & x+2

According to the question-

(x+2)^2 - x^2=56

(x+2+x)(x+2-x)=56

(2x+2) * 2=56

2x+2=28

2x=26

x=13

x+2=15

the numbers are 13 and 15.

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