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Define x :
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Let the two digit number be 10x + y.
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Construct Equation :
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<span>Four times the units digit is six less than twice the tens digit
</span>⇒ 4y = 2x - 6
⇒2y = x - 3
⇒ x = 2y + 3
<span>The number is nine less than three times the number obtained by reversing the digits.
</span>⇒10x + y = 3(10y + x) - 9
⇒ 10x + y = 30y + 3x - 9
⇒ 7x = 29y - 9
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Solve for x and y :
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x = 2y + 3 ----------------------- (1)
10x = 29y - 9 ------------------- (2)
Sub (1) into (2) :
7(2y + 3) = 29y - 9
14y + 21 = 29y - 9
15y = 30
y = 2 ------------------- Sub into (1)
x = 2(2) + 3
x = 7
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Find the number:
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Number = 10x + y = 10(2) + 7 = 27
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Answer: The 2-digit number is 27.
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The overall answer is -8 if the function is in the form I’ve written out
X is the shorter base.
Y is 4 less than 3 times x.
This means that if x were to be multiplied by 3, y would be short by 4. If put into an equation it would look like this.
Y = 3x -4
Answer:
193.75
Step-by-step explanation: