A two digit number is 4 times the sum of a digit. It is also equal so that three times the product of digit find the number
Answers
Answered by
2
Let the 2 digit number be AB.
10A + B = 4(A + B)
10A + B = 4A + 4B
6A = 3B
B = 2A.
This means that the ones place digit is twice the value of the tens place digit.
10A + B = 3*A*B
Use substitution:
10A + 2A = 3*A*2A
12A = 6A^2
6A^2 - 12A = 0
6A(A - 2) = 0
A = 0, 2.
A cannot be 0 because then the number AB would actually just be a 1 digit number. That means A has to equal 2. Therefore, B = 2*2 = 4.
The initially unknown number AB is 24.
Hope it helps you.
And plz mark it as brainliest
10A + B = 4(A + B)
10A + B = 4A + 4B
6A = 3B
B = 2A.
This means that the ones place digit is twice the value of the tens place digit.
10A + B = 3*A*B
Use substitution:
10A + 2A = 3*A*2A
12A = 6A^2
6A^2 - 12A = 0
6A(A - 2) = 0
A = 0, 2.
A cannot be 0 because then the number AB would actually just be a 1 digit number. That means A has to equal 2. Therefore, B = 2*2 = 4.
The initially unknown number AB is 24.
Hope it helps you.
And plz mark it as brainliest
Similar questions