Question

A two dogit number is such that the sum of digits is 7. When the digits are reversed, the new number formed exceeds the oringinal number by 27. Find the number.

Answer 1

Answer:

x, y are two digits

x+y=7

yx=xy+27

xy=25, yx=52

yx-xy=52-25=27

Number is 25.

Answer 2

$\tt\it\bf\it\huge\bm{\mathfrak{{\red{hello*mate♡}}}}$

$\tt\it\bf\huge\it\bm{\mathcal{\fcolorbox{blue}{yellow}{\red{Answer:-}}}}$

_______________________________

Let, the digit be x and y

ATQ,

x+y=7-----(1)

(10y +x)-(10x +y)=27-----(2)

simplifying eq(2):-

10y+x-10x-y=27

=>9y-9x=27

=>9(y-x)=27

=>y-x=3

=>y=3+x----------(3)

putting the value of y from eq(3) in eq(1):-

=>x+y=7

=>x+3+x=7

=>3+2x=7

=>2x=7-3

=>2x=4

=>x=4/2=2---------(4)

putting the value of x from eq(4) in eq(3):-

y=3+x

=>y=3+2

=>y=5

Hence,x=2 and y =5

•°• number is 25 or 52.

☺️✌️✌️

_______________________________

$\tt\it\bf\huge\it\bm{\mathcal{\fcolorbox{blue}{yellow}{\red{Be::Brainly !}}}}$