Question

The sum of two numbers is 2536 and their difference is 1464. Find the greatest number?

Answer 1

Answer:

Greatest number is 2000 and the smallest is 536

Step-by-step explanation:

Let the numbers be x and y and x be the greatest

x+y = 2536

x=2536 - y....... (1)

x-y = 1464

2536 - y - y = 1464

-2y = - 1072

y=1072/2

y=536

x=2536 - 536

x=2000

PLS MARK AS BRAINLIEST

Answer 2

Step-by-step explanation:

Let the first number be X

second number be Y

Given :

Sum of both the numbers is 2536

That is :

X + Y = 2536 ---------- eq.1

Difference of both the numbers is 1464

That is :

X - Y = 1464 ------------ eq.2

Now, From eq.2

=> X - Y = 1464

=> X = 1464 + Y --------- eq.3

Now put the value of X from eq.3 to eq.1

=> X + Y = 2536 ( X = Y+ 1464 )

=>Y + 1464 + Y = 2536

=> 2Y = 2536 - 1464

=> 2Y = 1072

=> Y = 1072 / 2

=> Y = 536 --------------- eq.4

Now, put the value of Y in eq.1

=> X + Y = 2536 ( Y = 536 )

=> X + 536 = 2536

=> X = 2536 - 536

=> X = 2000

Hence , the greatest number is 2000.