Question

three consecutive integers add up to 51. what are the 3 integers ?​

Answer 1

Given:-

• Sum of three consecutive numbers = 51

To Find:-

• The values of 3 Integers.

Solution:-

Let,

Unknown three consecutive Integers be x, x+1 & x+2.

ᴀᴄᴄᴏʀᴅɪɴɢ ᴛᴏ ꜱᴜᴍ,

$→\;{\sf{x+(x+1)+(x+2) = 51}}$

$→\;{\sf{3x+3 = 51}}$

$→\;{\sf{3x = 51-3}}$

$→\;{\sf{x = \cancel{\frac{48}{3}}}}$

$→\;{\sf{x = 16}}$

Then, x+1 = 17 & x+2 = 18

AnSweR:-

The Three Consecutive Integers Are

◕➜ $\Large{\red{\mathfrak{16,17,18}}}$

Verification:-

→ x+(x+1)+(x+2) = 51

→ 16+17+18 = 51

→ 51 = 51

LHS = RHS

Hope It Helps You ✌️

Answer 2

Answer:

Three consecutive integers add up to 51. What are these integers?

Let consecutive numbers be, x, x+1 and x+2.

According to the condition, we have

x + [x+1] +[x+2] =51

or x + x + 1 + x + 2 =51

or 3x + 3 = 51

Transposing 3 to RHS, we have

3x = 51 - 3 = 48

Dividing both sides by 3, we have:

or x =16

Now x + 1 = 16 + 1 = 17

and x + 2 = 16 + 2 =18

Thus, the required three consecutive numbers are: 16, 17 and 18.