This is the basic and exam oriented question from linear equations in two variables in which we have to calculate the number if their sum of their digits is 10 and their digit gets reversed if 18 is subtracted from the number.
Kindly solve the above problem
RS Aggarwal, Class 10, chapter 3F, question no 10
Let one’s digit of a two number is x and ten’s digits y, then the number is x+10y
By reversing its digits One’s digit =y and ten’s digit =x
Then the number is y+10x
As per statement
x+y=10...(1)
And,
x+10y−18=y+10x
x+10y−y10x=18
−9x+9y=18
x−y=−2 (Dividing by −9) ….(2)
Adding (1) and (2), we have
2x=8 or x=4
From (1):4+y=10
y=6
Answer:
Number =x+10y=4+10(6)=64