Math, asked by animeshchettri5767, 1 year ago

a number has two digits . The digit at tens place is four times the digit at units place . If 54 is subtracted from the no. the digits are reversed .find the number

Answers

Answered by TheUrvashi
11
hope it helps to you.

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Answered by xcristianox
43

  • ACCORDING TO THE QUESTION :-

x = 3y ... eq. 01

  • According to the second condition :

10x + y - 54 = 10y + x

=> 9x - 9y = 54

=> 9(x - y) = 9 × 6

=> x - y = 6 ... eq.02

  • Now we can solve the Equation 01 and 02 by substitution Method :-

x - y = 6

=> 3y - y = 6 [ from eq.01 , x = 3y ]

=> 2y = 6

=> y = 3

  • Now we can substitute the value of y in eq. 01 to get value of x

x = 3y

=> x = 3 × 3

=> x = 9

Hence the number is

Hence the number is 10x + y = 90 + 3 = 93

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