Solve question 14 14 A number consists of two digits , the difference of whose digits - Maths - Expansions

Question

Solve question 14

14 A number consists of two digits , the
difference of whose digits is 3 If 4 times the number is equal to 7
times the number obtained by reversing the digits, find the
number

[Hint Original number is greater than the number obtained by
reversing its digits In original number, ten's digit is greater
than unit's digit ]

Ankita Agarwal · Accepted Answer

Dear Student,

Let the number be 10x+yThen, reversed number = 10y+xGiven: 7×reversed number =4×Number7×10y+x=4×10x+y70y+7x=40x+4y66y=33xy=x2                
1Also, difference of digits is 3So, x-y=3     
2 It is given that ten's digit is greater in original numberSubstituting value of y from equ1, we getx-x2=32x-x=6x=6Putting x=6 in equ
1, we gety=3Hence the number is 10×6+3 = 63

Regards