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In A three digit number , the hundreds digit is twice the tens digit while the units digit is thrice the tens digit . Also, the sum of its digits is 18 .Find the number.?
Verified Answer
In A three digit number , the hundreds digit is twice the tens digit w...
Let units digit be 'x'.
Thus tens = 3x
hundreds = 4x
Thus as given,
hundreds+tens+units = 16
3x+4x+x = 16
8 x = 16
units equals to 2
tens equals 3 x 2=6
hundreds equals 4x2=8
number is equal to 862
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Most Upvoted Answer
In A three digit number , the hundreds digit is twice the tens digit w...
Problem Analysis:
Let's assume the tens digit to be x. According to the given conditions:
- The hundreds digit is twice the tens digit, so it is 2x.
- The units digit is thrice the tens digit, so it is 3x.
- The sum of the digits is 18.
Solution:
Let's solve this problem step-by-step:
Step 1: Setting up the equation:
We know that the sum of the digits is 18. So, we can write the equation as:
2x + x + 3x = 18
Step 2: Simplifying the equation:
Combining like terms, the equation becomes:
6x = 18
Step 3: Solving for x:
Dividing both sides of the equation by 6, we get:
x = 3
Step 4: Finding the number:
Now that we know the value of x, we can find the number by combining the digits. The number will be:
2x * 100 + x * 10 + 3x = 200 + 30 + 9 = 239
Therefore, the number is 239.
Conclusion:
The three-digit number that satisfies the given conditions is 239. The hundreds digit is twice the tens digit (2x = 2 * 3 = 6), and the units digit is thrice the tens digit (3x = 3 * 3 = 9). The sum of its digits is 18 (2x + x + 3x = 18), which is satisfied by the number 239.
Let's assume the tens digit to be x. According to the given conditions:
- The hundreds digit is twice the tens digit, so it is 2x.
- The units digit is thrice the tens digit, so it is 3x.
- The sum of the digits is 18.
Solution:
Let's solve this problem step-by-step:
Step 1: Setting up the equation:
We know that the sum of the digits is 18. So, we can write the equation as:
2x + x + 3x = 18
Step 2: Simplifying the equation:
Combining like terms, the equation becomes:
6x = 18
Step 3: Solving for x:
Dividing both sides of the equation by 6, we get:
x = 3
Step 4: Finding the number:
Now that we know the value of x, we can find the number by combining the digits. The number will be:
2x * 100 + x * 10 + 3x = 200 + 30 + 9 = 239
Therefore, the number is 239.
Conclusion:
The three-digit number that satisfies the given conditions is 239. The hundreds digit is twice the tens digit (2x = 2 * 3 = 6), and the units digit is thrice the tens digit (3x = 3 * 3 = 9). The sum of its digits is 18 (2x + x + 3x = 18), which is satisfied by the number 239.
Community Answer
In A three digit number , the hundreds digit is twice the tens digit w...
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In A three digit number , the hundreds digit is twice the tens digit while the units digit is thrice the tens digit . Also, the sum of its digits is 18 .Find the number.?
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In A three digit number , the hundreds digit is twice the tens digit while the units digit is thrice the tens digit . Also, the sum of its digits is 18 .Find the number.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In A three digit number , the hundreds digit is twice the tens digit while the units digit is thrice the tens digit . Also, the sum of its digits is 18 .Find the number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In A three digit number , the hundreds digit is twice the tens digit while the units digit is thrice the tens digit . Also, the sum of its digits is 18 .Find the number.?.
In A three digit number , the hundreds digit is twice the tens digit while the units digit is thrice the tens digit . Also, the sum of its digits is 18 .Find the number.? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about In A three digit number , the hundreds digit is twice the tens digit while the units digit is thrice the tens digit . Also, the sum of its digits is 18 .Find the number.? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In A three digit number , the hundreds digit is twice the tens digit while the units digit is thrice the tens digit . Also, the sum of its digits is 18 .Find the number.?.
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