Please Hurry The sum of two numbers is 44. The smaller number is 14 less than the larger number. What are the numbers?
Larger Number:
Smaller Number:

Smaller number = 15

Larger number = 29

Step-by-step explanation:

Let smaller number be S

Let larger number be  L

Given :

Sum = 44. That is , S + L = 44

Smaller number is 14 less than larger number. That is , S = L - 14

Therefore the equations are :

                                          S + L = 44 (1)

                                          S = L -  14 (2)

Substitute (2) in ( 1 )

(L - 14 ) + L = 44

L - 14 + L = 44

2 L = 44 + 14

2 L = 58

L = 29

Substitute L in (1) : S = L - 14 = 29 - 14 = 15

Larger Number: 29

Smaller Number: 15

Step-by-step explanation:

By assigning the letters "L" and "S", to the larger number and smaller number respectively, we can solve this using simultaneous equations:

L+S = 44

L-14 = S

By substituting S = L-14 into the first equation, we get:

L+L-14 = 44 (add 14 to both sides)

L+L = 58 ( divide by 2 as L+L becomes 2L)

L=29

When L= 29, S= 29-14 which is 15

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.