English, asked by rowsan, 1 year ago

in a 2-digitnumber,the face value of the digit at the tens place is four times that of the digit at one's place.if 54 is subracted from the number ,the digits are reversed.find the number. (after finding the number check that LHS=RHS)

Answers

Answered by Manekdev

Let number be 10x +y

According to first condition
x= 4y

According to second condition
10x+y-54 = 10y +x
9x-9y=54
x-y=6
4y-y=6
y=2
thus x= 8

So the number is 8(10)+2
which is 82
L.H.S= 10x+y-54 = 82-54=28
R.H.S = 10y+x = 2(10) +8 =28
Hence Verified
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Manekdev: Condition dekh

rowsan: what is mean by face value

Manekdev: Face value means the digit on the tens place

rowsan: unit digit is only xaccording toquestion

Manekdev: it mean value of digit

Manekdev: in a number

Manekdev: For 82 the face value of tens place is 8 and that of units place is 2

rowsan: how that 4y-ycoming

Manekdev: substitution

Manekdev: by first condition

Answered by EmeraldQueen273109

As they have said that face value of tens place is 4 times the ones place. the combinations may be 41 and 82 .
And they have even said that when 54 is subtracted from that no. then the digits get reversed. so the no. must be greater than 54.
hence, the no. is 82.

LHS = RHS
82 - 54 = 28

rowsan: yes Ian satisfied with your answer

EmeraldQueen273109: tqsm if u found it helpful pls mark it the brainliest answer.

EmeraldQueen273109: hey listen....

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