Math, asked by mathwiz86, 11 months ago

The digit in the tens place of a two digit number is three times that in the units place. If the digits are reversed, the new number will be 36 less than the original number. Find the original number. Check your solution.



PLSSSSS ANSWER ASAP. I HAVE EXAM ON MONDAY​

Answers

Answered by Indian9998
2

according to question let, the unit digit = x then the tens digit = 3x because according to question tens digit is 3 times of unit digit. now the number = 10(3x) + x = 31x put it eq'n 1 now , reversing the original number 10(3x) + x = 10x + 3x . 10x + 3x = 31x -36 . 36 = 31x -13x . next 36 = 18x . now x = 2 . put the value of x in eq'n 1 , 31(2)= 62 the original number obtained is 62


mathwiz86: thnx a lot
mathwiz86: can u do it step by step plz?
mathwiz86: I cant understand
Indian9998: let the ones place no. be x 
and tens place no. be 3x
therefore the original no be = 10×3x+x=30x+x
on reversing the no.
the new no. be 10×x+3x=10x+3x
ATQ
30x+x-(10x+3x)=36
31x-10x-3x+36
18x=36
x=2
so, the original no. is 10×3×2+2=62
mathwiz86: cant understand
mathwiz86: it should be 31x - 13x = 36
Answered by user123456789
3

Answer:

let units digit be x,

ATQ,

tens digit = 3x

the number= 10(3x) + x = 30x + x = 31x

number when digits reversed= 10x + 3x = 13x

13x = 31x - 36

13x - 31x = -36

-18x = -36

x = 2

the original number = 10*3*2 + 2 = 62


mathwiz86: explain this 31x-10x-3x+36
mathwiz86: plz dude help me
Indian9998: 30x+x = 31x
mathwiz86: ugh no explain this step
mathwiz86: the last one
mathwiz86: in ur main ans
mathwiz86: why u did 10 x 3 x 2 + 2
mathwiz86: oh no ok I've understood thnx no need to explain
Indian9998: Ok
Indian9998: Next time plzz readany ans be careful ok
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