Question

Of the three consecutive natural numbers, five times the smallest number is 9 more than four times the greatest number, find the numbers. ​

Answer 1

Three conescutive natural numbers will be

x, x+1, x+2

According to the Question:

5x = 4(x+2) + 9

5x = 4x + 8 + 9

5x = 4x + 17

5x - 4x = 17

x = 17

Therefore, the three numbers:

x = 17

x + 1 = 17 + 1 = 18

x +2 = 17 + 2 = 19

So, the three numbers are 17, 18 and 19

Hope this Helped!

Answer 2

Answer:

The three numbers are 17, 18 & 19.

Step-by-step explanation:

Let the three consecutive natural numbers be x, x+1, x+2.

According to the given condition,

 

$\implies \sf{5 \times (smallest \; number) = 4 \times (greatest \; number) + 9 } \\\\\implies \sf{ 5 \times x = 4(x+2)+9}\\\\\implies \sf{ 5x = 4x + 8 + 9 }\\\\\implies \sf{5x = 4x - 17}\\\\\implies \sf{5x - 4x = 17}\\\\\implies \therefore \underline{\boxed{\pmb{\sf{x = 17}}}} \; \bigstar$

   

The 3 consecutive natural numbers are,

x = 17

x + 1 = 17 + 1 = 18

x + 2 = 17 + 2 = 19

   

Therefore, the three consecutive numbers are, 17, 18 & 19!

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