What is the number between 149000 and 150000 which has a tens digit that is 7 more than its ones digit. The sum of the tens ans ones digit is 9 and the hundreds digit is zero
Since the hundreds digit is zero, we just have to concentrate on the last two digits.
let the unit digit be x
then the tens digit = x+7
x+x+7 = 9
2x=2
x=1
the unit digit is 1, the tens digit is 8 and our number is
149081
The answer is, in fact, 149,981.
To find the number, we can break down the given information step-by-step:
Step 1: The hundreds digit is zero.
Since the number is between 149000 and 150000, and the hundreds digit is zero, we can conclude that the number is in the form of 14XY00, where X represents the tens digit and Y represents the ones digit.
Step 2: The sum of the tens and ones digit is 9.
From the given information, we know that X + Y = 9.
Step 3: The tens digit is 7 more than the ones digit.
From the given information, we know that X = Y + 7.
Step 4: Solve for X and Y.
Using the equations X + Y = 9 and X = Y + 7, we can substitute the value of X from the second equation into the first equation:
(Y + 7) + Y = 9
2Y + 7 = 9
2Y = 2
Y = 1
Substituting Y = 1 into the equation X = Y + 7:
X = 1 + 7
X = 8
Step 5: Formulate the number.
Based on the given information and our calculations, we can determine that the number is 148100.
Therefore, the number between 149000 and 150000, with a tens digit that is 7 more than its ones digit, a sum of the tens and ones digit as 9, and a hundreds digit of 0, is 148100.
To find the number between 149000 and 150000 that satisfies the given conditions, we can break down the problem into three parts: determining the hundreds digit, determining the tens digit, and determining the ones digit.
First, we know that the hundreds digit is zero. So the number will start with "1" followed by "0" in the hundreds place.
Next, we need to find the tens digit. We are given that the tens digit is 7 more than the ones digit and their sum is 9. Let's represent the ones digit as "x" and the tens digit as "x+7".
The sum of the tens and ones digit is 9, so we can write the equation:
(x + x + 7) = 9
Simplifying, we get:
2x + 7 = 9
Subtracting 7 from both sides, we have:
2x = 2
Dividing by 2, we find:
x = 1
Therefore, the ones digit is 1.
Now, we can determine the tens digit using the equation:
tens digit = ones digit + 7
= 1 + 7
= 8
Therefore, the tens digit is 8.
Putting it all together, the number between 149000 and 150000 that satisfies the given conditions is:
100,000 + 80 + 1 = 100,081