Question

sum of three consecutive multiplesof 13 is 351

Answer 1

Answer:

One number = 104

Other number = 117

Another number  = 130

Step-by-step explanation:

One number = 13(x)

Other number = 13(x + 1)

Another number  = 13(x + 2)

Sum of three numbers = 351

13(x) + 13(x + 1) + 13(x + 2) = 351

13(x + x + 1 + x + 2) = 351

13(3x + 3) = 351

3x + 3 = 351/13

3x + 3 = 27

3x = 27 - 3

3x = 24

x = 24/3

x = 8

One number = 13(x) = 13 × 8 = 104

Other number = 13(x + 1) = 13 × 8 + 13 × 1 = 104 + 13 = 117

Another number  = 13(x + 2) = 13 × 8 + 13 × 2 = 104 + 26 = 130

Check ⇒

One number = 13(x) = 13 × 8 = 104

Other number = 13(x + 1) = 13 × 8 + 13 × 1 = 104 + 13 = 117

Another number  = 13(x + 2) = 13 × 8 + 13 × 2 = 104 + 26 = 130

Sum of three numbers = 351

104 + 117 + 130 = 351

351 = 351

L.H.S = R.H.S

Hence, verified.

The answer is correct.

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