Question

If the sum of two consecutive numbers is 79 then find the largest number .

38
39
40
41​

Answer 1

Given :-

• The sum of two consecutive numbers is 79.

To find :-

• Largest number

Solution :-

Let the consecutive numbers be x and (x + 1)

• Sum of two consecutive numbers = 79

According to the given condition

→ x + (x + 1) = 79

→ x + x + 1 = 79

→ 2x + 1 = 79

→ 2x = 79 - 1

→ 2x = 78

→ x = 78/2

→ x = 39

Hence,

• x = 39

Therefore,

• Largest number = (x + 1) = 40

Verification :-

• Sum of two consecutive numbers = 79

→ x + (x + 1) = 79

→ 39 + 40 = 79

→ 79 = 79

• Hence verified

Answer 2

Answer:

• Let the smaller number be x.

• The next larger number be x + 1

❍ According to Question now :

↪ x + x + 1 = 79

↪ 2x + 1 = 79

↪ 2x = 79 - 1

↪ x = 78/2

↪ x = 39

Therefore,

• The smaller number = x = 39

• The largest number = x + 1 = 39 + 1 = 40

To check, subsitute x by 39

↪ x + x + 1 = 79

↪ 39 + 39 + 1 = 79

↪ 79 = 79 equal. value of x is correct