Question

The difference of squares of two numbers is 88. If larger number is 5 less than twice the smaller nos, find two nos....
Pls help.....

Answer 1

hey the answer is .....

hope it helps uu frnd. .

Answer 2

Answer:

9 and 13

Step-by-step explanation:

STEP 1: Define x

Let the smaller number be x

STEP 2: Find the larger number in term of x

The larger number is 5 less than twice the smaller number

larger number = 2x - 5

STEP 3: Form the equation

The difference of squares of two numbers is 88

(2x - 5)² - x² = 88

STEP 4: Solve for x

(2x - 5)² - x² = 88

4x² - 20x + 25 - x² = 88

3x² - 20x -63 = 0

(x - 9)(3x + 7) = 0

x = 9 or x = -7/3 (rejected, since it is negative)

STEP 5: Find the two numbers:

Smaller number = x = 9

Larger number = 2x - 5 = 2(9) - 5 = 13

Answer: The two numbers are 9 and 13