The sum of the two numbers is 10 the differints of the two numbers is 4 what is the smallest number

Step-by-step explanation:

So, we will take one of the numbers as "x"

And the other is less than it by 4 so, = "x - 4"

And if we added them, we will get 10

So, x + (x - 4) = 10

= 2x - 4 = 10

2x = 10 + 4

2x = 14

x = 14/2

x = 7

So the bigger number = 7

And the smaller one = x - 4

So, it's 7-4 = 3

So, if we add 7 + 3 = 10

We get 10!

So 3 is the smaller number

And 7 is the bigger

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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