A two-digit number has tens digit t and units digit u, so its value is (10t+u). For the number 74, t=7 and u=4. If we reverse the digits, the new value is (10u+t). Find the value of (10t+u)−(10u+t) for the number 74.
Class 7Finding the Value of an ExpressionAlgebra
A24
B30
C27
D54
Step-by-Step Solution
Original 10t+u=70+4=74. Reversed 10u+t=40+7=47.(10t+u)−(10u+t)=74−47=27 (which equals 9(t−u)=9(7−4)=27).
Answer: C) 27
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