a number has 2 digits the digit at tense place is 4 times the digit at units place if 54 is subtracted from the number that digit are reversed find the number
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Let U be the units digit
Let T be the tens digit
The original number is 10T + U
The reversed number is 10U + T
The difference is 54:
10T + U - (10U + T) = 54
9T - 9U = 54
9(T - U) = 54
T - U = 6
We also know that T is 4U, so substitute:
4U - U = 6
3U = 6
U = 2
T = 4U = 8
The number is 10T + U = 80+2 = 82
Answer:
82
Let T be the tens digit
The original number is 10T + U
The reversed number is 10U + T
The difference is 54:
10T + U - (10U + T) = 54
9T - 9U = 54
9(T - U) = 54
T - U = 6
We also know that T is 4U, so substitute:
4U - U = 6
3U = 6
U = 2
T = 4U = 8
The number is 10T + U = 80+2 = 82
Answer:
82
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