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Alborosie
2 years ago
14

One of the digits of a two digit number is three times the other digit. If you interchange the digits of this two digit number a

nd add the resulting number to the original number you get 88 . Find the original number
Mathematics
1 answer:
STatiana [176]2 years ago
3 0

Answer:

62

Step-by-step explanation:

well, we start by expressing the number:

a b

we understand that using the above expression, the value of the number is 10a + b

using the information in the question,

a = 3b (1)

and,

11b + 11a = 88 (2) (derived using 10a + b form)

hence, when substituting (1) into (2):

11b + 33b = 88

44b = 88

b = 2 (3)

sub (3) into (1)

a = 6

hence, the number is 62

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