The difference between two numbers is 15. if 8 is added to twice the greater number, the result is 4 less than 3 times the lesser number. find the two numbers.

Step-by-step explanation:

Let be the greater number and be the smaller number. We know that their difference is 15, so we have

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

So, we have the follwing system:

From the first equation, we can derive , and substitute this expression in the second equation to get

Substitute this value for y in the first equation to get

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.