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The number of blocks has 9 in the ones place. The number in the hundreds place is one more than the number in the tens place. Those two numbers equal 11. How many blocks are there?

Respuesta :

Let's denote number in the tens place with x. Then the number in hundreds place is (x+1). We can make an equation:

x + x + 1 = 11

2 x = 10

x = 5

This number is 659

The number will be "659". A complete solution is provided below.

Let,

  • The number in the tens place be "x".
  • The number in hundreds place be "(x+1)".

According to the question, the equation will be:

→  [tex]x + x + 1 = 11[/tex]

→       [tex]2x+1=11[/tex]

By subtracting "1" from both sides, we get

→ [tex]2x+1-1=11-1[/tex]        

→              [tex]2x=10[/tex]

→                [tex]x = \frac{10}{2}[/tex]

→                 [tex]x =5[/tex] (tens place)

now,

Hundreds place,

= [tex]x+1[/tex]

= [tex]5+1[/tex]

= [tex]6[/tex]

Thus the above answer is correct.      

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