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Step-by-step explanation:
The number line can help us to make additions and subtractions.
To add a positive number we need to move the point to the right and to add a negative number we need to move the point to the left.
You can observe in the figure that the point on the number line is moved from 3 to -4, then it is moved 7 places to the left. Therefore, you can express it in the following form:
This is:
Then the number line represents this number sentence:
Given:
In a two-digit number, the tens digit is 5 less than the units digit.
The number itself is five more than three times the sum of its digits.
To find:
The number.
Solution:
Let the two digit number is ab. So,
Tens digit is 5 less than the units digit.
...(i)
The number itself is five more than three times the sum of its digits.
...(ii)
Using (i) and (ii), we get
Putting b=8 in (i), we get
Therefore, the required number is 38.