Math, asked by gangabhat2501, 1 year ago

one of the two digits of a two digit number is three times the other digit. If you interchange the digits of this two digit number and add the resulting number to the original number, you get 88.What is the original number ?

Answers

Answered by CutyRuhi
18

Hey! mate, GOOD MORNING☺

Write the two digit number as 10x + y

:

"One of the two digits of a two digit number, is 3 times the other digit."

x = 3y

:

If u inter change the digit of this two digit number, and add the resulting

number to original number, you get 88.

(10y + x) + (10x + y) = 88

Combine like terms

11y + 11x = 88

Simplify, divide by 11

y + x = 8

We know x = 3y, therefore

y + 3y = 8

4y = 8

y = 8/4

y = 2 is the units digit

then

x = 3(2)

x = 6 is the 10's digit

:

62 if the original number

:

:

We can confirm this: 62 + 26 = 88

HOPE IT HELPS YOU❤❤❤

HAVE A NICE DAY AHEAD☺☺☺

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