The sum of two numbers is 90. the larger number is 14 more than 3 times the smaller number. find the numbers

The larger number is 71 and the smaller number is 19.

Two equations can be derived from the question:

x + y = 90 equation 1

x = 14 + 3y equation 2

The larger number would be represented with x and the smaller number would be represented with y.

Substitute for x in equation 1

14 + 3y + y = 90

Add similar terms

14 + 4y = 90

Make y the subject of the formula

4y = 90 - 14

4y = 76

y = 76 / 4 = 19

Substitute for y in equation 1

x + 19 = 90

x = 90 - 19

x = 71

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The sum of numbers is the addition of the numbers.

The numbers are 19 and 71

Let the two numbers be x and y, where y is greater than x.

So, we have:

The sum of the numbers is:

Substitute

Subtract 14 from both sides

Divide both sides by 4

Substitute in

Hence, the numbers are 19 and 71

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answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)

i don't know

step-by-step explanation: