The sum of two numbers is 52 . the smaller number is 16 less than the larger number. what are the numbers?

Let the Smaller Number be : S

Let the Larger Number be : L

Given : The Sum of Two Numbers is 52

⇒ S + L = 52 [1]

Given : The Smaller Number is 16 Less than Larger Number.

It Means if we Add 16 to the Smaller Number, It should be Equal to the Larger Number

⇒ S + 16 = L

⇒ S = L - 16 [2]

Substituting Equation [2] in Equation [1], We get :

⇒ L - 16 + L = 52

⇒ 2L = 52 + 16

⇒ 2L = 68

⇒ L = 34

Substituting L = 34 in Equation [2], We get :

⇒ S = 34 - 16

⇒ S = 18

⇒ The Larger Number is 34

⇒ The Smaller Number is 18

2/5

step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.