A two-digit number is 7 more than three times the sum of the digits. If x is the digit at the tens place and y is the digit at the units place, write an equation in x and y
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The number = 10(x) + y
The number = 10(x) + yThen ,
The number = 10(x) + yThen ,10(x) + y = 3(x+y)+7
10x+y=3x+3y+7
7x-7=2y
7(x-1)=2y
x=(2y/7)+1
Here you go...
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Answer:
62 HOPE IT HELPS
Step-by-step explanation:
Let the digit at tens place be x and the digit unis place be y.
Then the original number will be 10x+y.
The digit at tens place is three times the digit at the units place.
i.e. x=3y ....(1)
The sum of this number and the number formed by reversing its digits is 88.
(10x+y)+(10y+x)=88
⇒11x+11y=88
⇒x+y=8 ....(2)
Substitute the value of equation (1) in equation (2).
Therefore, 3y+y=8
⇒4y=8
⇒y=2
Therefore, x=3y=3×2=6
Therefore, the original number is 62.
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