the sum of two different numbers x and y is 70 and the differences when the smaller number is subtracted from the larger number is 30 what is the value of xy

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Answer:

1000

Step-by-step explanation:

Lets just say x is the bigger number. We can create two equations.

x + y = 70

x - y = 30

If we add these equations together, we get that:

2x = 100

and that

x=50

Plugging x back into any of the equations gets us that y = 20, so xy = 20*50 = 1000

An equation is formed when two equal expressions. The value of xy will be 1500.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the larger number be represented by x, while the smaller number is represented by y.

Given that the sum of two different numbers x and y is 70. Therefore, the sum of the two numbers can be rewritten as

x + y  = 70........ equation 1

Also, when the smaller number is subtracted from the larger number then the difference is 30. Therefore, we can write,

x - y = 30......equation 2

Now, if the two equations are added together,

x + y + x - y = 100

2x = 100

x = 50

Substitute the value of x in any one of the equations, to get the value of y.

x + y = 70

50 + y = 70

y = 20

Therefore, The larger and the smaller number that sums up to 70 and whose difference is 30 are 50 and 20, respectively.

Now, the value of xy can be rewritten as,

xy = 50 × 30

x y = 1500

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