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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?

Verified Answer :

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:

→  \(x + x + 1 = 11\)

→       \(2x+1=11\)

By subtracting "1" from both sides, we get

→ \(2x+1-1=11-1\)        

→              \(2x=10\)

→                \(x = \frac{10}{2}\)

→                 \(x =5\) (tens place)

now,

Hundreds place,

= \(x+1\)

= \(5+1\)

= \(6\)

Thus the above answer is correct.      

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