Race to get brainliest, need help!
2 answers:
Answer:
Original number is 86
Step-by-step explanation:
Original: 10x + y
Double reversed: 2(10y + x)
Constraints:
x + y = 14 ===> x = 14 - y
2(10y + x) + 10x + y = 222 ===> 21y + 12x = 222
Substitution to find y:
21y + 12x = 222
21y + 12(14 - y ) = 222
21y + 168 - 12y = 222
9y + 168 = 222
9y = 54
y = 6
Substitution to find x:
x = 14 - y
x = 14 - 6
x = 8
Original: 10x + y
10(8) + (6)
80 + 6
86
X = Tens place y = Ones place x+y=14 y=14-x 2(10y+x)+(10x+y)=222 20y+2x+10x+y=222 21y+12x=222 21(14-x)+12x=222 294-21x+12x=222 -9x = -72 x = 8 y = 14-8 =6 ANSWER: 86
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