Question

The sum of five consecutive integers is 35. Find the integers.​

Answer 1

Answer:

let the no. be x , x+1 , x+2 , x+3 , x+4

x+x+1+x+2+x+3+x+4 = 35

x⁵+10=35

x⁵=35-10

x⁵=25

x=25/5

x=5

ans = 5,6,7,8,9

Answer 2

Given:

• The sum of five consecutive integers is 35.

To find:

• The integers.

Solution:

• Let's use x in common of integers.

Here,

• Intergers :

1. x
2. x + 1
3. x + 2
4. x + 3
5. x + 4

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« Now, Let's make an equation,

→ x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 35

→ 5x + 10 = 35

→ 5x = 35 - 10

→ 5x = 25

→ x = 25/5

→ x = 5

Therefore,

• x = 5
• x + 1 = 6
• x + 2 = 7
• x + 3 = 8
• x + 4 = 9

∴ Hence, The consecutive integers are 5,6,7,8,9.

⠀⠀━━━━━━━━━━━━━━━━━━━⠀

« Now, Let's verify this,

→ x + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 35

→ 5x + 10 = 35

→ 5(5) + 10 = 35

→ 25 + 10 = 35

→ 35 = 35

LHS = RHS

• Hence, Verified!