Math question, please help me to solve
A number has two digits whose is 14. If 36 is added to the number, its digits are
interchanged. The number is
(a) 68
(b) 95
(c) 86
(d) 59
Answers
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1
Answer:
b) 59.
Step-by-step explanation:
let 10x + y be the number.
x + y = 14
y= 14- x
10x+ y +36 = 10 y + x
10 x +(14-x)+36=10(14-x)+x
10 x + 14 - x +36= 140 -10 x + x
9 x + 50 = 140- 9 x
9 x + 9 x =140- 50
18 x = 90
x= 90/18
x = 5
thus,
y = 14 - 5
= 9
therefore number is 59.
(Assuming: that the sum of digits is 14, as the question is not complete.)
and 59 + 36 = 95.
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