HELP ASAP

The product of two consecutive natural numbers is greater than their sum by 155. Find these numbers

numbers are 13 and 14

Step-by-step explanation:

Let the numbers be y and y+1

The products of the numbers is written as:

y(y + 1)

The sum of the numbers is written as:

y + (y + 1) = 2y + 1

From the question,

The products of the two number is great than the sum by 155. This can be written as:

y(y + 1) = 2y + 1 + 155

y^2 + y = 2y + 156

y^2 + y — 2y —156 = 0

y^2 — y —156 = 0

Multiply the first term (i.e y^2) and the last term (—156) together. This gives —156y^2.

Now find two factors of —156y^2 such that when you add the two factors together, it will result to the 2nd term (ie —y) in the equation. These numbers are 12y and — 13y

Now substitute these numbers (i.e 12y and — 13y) in place of —y in the equation above

y^2 — y —156 = 0

y^2 + 12y — 13y —156 = 0

y(y + 12) — 13(y + 12) = 0

(y —13)(y + 12) = 0

y —13 =0 or y +12 =0

y = 13 or y = —12

Since the numbers are positive numbers, y =13

The first number = y = 13

The 2nd number = y + 1 = 13 +1 = 14

Therefore, the consecutive numbers are 13 and 14

plants store their excess carbohydrate in the form of starch so that it could be used as energy source later on. the excess carbohydrate is converted into starch in the plastid i.e. chloroplast & this process occurs in the presence of sunlight. it is an insoluble polymer of glucose which gets stored in cell organelles named as amyloplasts. in some plants, starch is also stored in roots and embryos.

answer:

step-by-step explanation: