Larger number:
smaller number:

Let:

Larger number = x

Smaller number = y

x + y = 49

x - y = 21

Isolate the x in the first equation. Subtract y from both sides

x + y (-y) = 49 (-y)

x = 49 - y

Now that we know what x is, plug in 49 - y (which = x) into x in the other equation.

x - y = 21

(49 - y) -y = 21

Simplify.

49 -2y = 21

Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS. First subtract 49 from both sides

-2y +49 (-49) = 21 (-49)

-2y = 21 - 49

-2y = -28

Next, divide -2 from both sides to isolate the y

-2y/-2 = -28/-2

y = -28/-2

y = 14

Now that we know what y is, plug into one of the equations.

x + y = 49

x + (14) = 49

Isolate the x. Subtract 14 from both sides

x + 14 (-14) = 49 (-14)

x = 49 (-14)

Simplify

x = 35

Larger number: 35

Smaller number: 14

hope this helps

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11