Math, asked by amritbhaskar2007, 7 months ago

The sum of the digits of a two – digit number is 12. The number obtained by interchanging its digit exceeds
the given number by 18.Find the number.

Answers

Answered by Anonymous

$\huge\star\boxed{\fcolorbox{red}{pink}{Answer}}\star$

$\huge\pink{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}$

Let the tens digit of the required number be x and the units digit be y. Then,

x+y=12 .........(1)

Required Number = (10x+y).

Number obtained on reversing the digits = (10y+x).

Therefore,

(10y+x)−(10x+y)=18

9y−9x=18

y−x=2 ..........(2)

On adding (1) and (2), we get,

2y=14⟹y=7

Therefore,

x=5

Hence, the required number is $\boxed{\fcolorbox{red}{pink}{57}}$ .

$\huge\green{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}$

$<!doctype html><style>.zorro {width: 120px;padding: 20px;text-align: center;background: red; position: relative; animation: zorro 5s ease-in 2s 6 alternate;} @keyframes zorro {from {top: 0px; left: 0px;}33% { top: 0px; left: 150px;} 66% {top:120px;left:0px;} to {top: 120px; left: 150px;} </style> Call me... <div class="zorro">Snehashish!</div>$

Answered by ItzWhiteStorm

Answer:

Let the tens digit of the required number be x and the units digit be y. Then,

x + y = 12............(1)

Required Number = (10x+y).

Number obtained on reversing the digits = (10y+x).

Therefore,

(10y+x)−(10x+y)=18

9y−9x=18

y−x=2 ..........(2)

On adding (1) and (2), we get,

2y=14⟹y=7

Therefore,

x=5

Hence, the required number is 57.

$mark \: me \: as \: brainliest...$

Previous Question

Next Question

The sum of the digits of a two – digit number is 12. The number obtained by interchanging its digit exceeds the given number by 18.Find the number.

Answers

The sum of the digits of a two – digit number is 12. The number obtained by interchanging its digit exceeds
the given number by 18.Find the number.