Math, asked by sonupandit83, 1 year ago

Inin a two digit number the ten digit is three times the units digit when the numbers deserved by 54 digit are reserved find number ​

Answers

Answered by harshit1989
1

Answer:

93 is the answer you can check this answer. I have answered it with method however giving you a hint that 30x+x=31x

Answered by ImperialGladiator
7

{\pink{\underline{\textsf{\textbf{Answer : }}}}}

The number is 82.

{\purple{\underline{\textsf{\textbf{Explaination : }}}}}

Let's assume

➩ The numbers are x(ten's digit) and y (ones digit)

Number formed :

➩ 10x + y

Reversing the digits :

➩ 10y + x

As it is told that x is 4 times y

So, x = 4y ...... (i)

According to the question,

\sf :  \implies \: (10x + y) - (10y  +  x) = 54 \\  \sf :  \implies \: 10x + y - 10y  -  x = 54 \\  \sf :  \implies \: 9x - 9y = 54 \\  \sf :  \implies \:9( x - y) = 54 \\  \sf :  \implies \: x - y =  \frac{54}{9}  \\  \sf :  \implies \: x - y = 6 \\ { \underbrace{ \textbf{ \textsf{ From ..(i)}}}}   \\ \sf :  \implies \: 4y - y = 6 \\  \sf :  \implies \: 3y = 6 \\  \sf :  \implies \: y =  \frac{6}{3}  \\  \sf :  \implies \: y = 2 \\

After solving we get :

➩ y = 2

And also,

x = 4y

x = 4*2

x = 8

Hence,

The number is :

➩ 10x + y

➩ (10*8) + (2)

➩ 80 + 2

➩ 82 ans.

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