U Jas remainder. Therefore, by using ), we 3x = 4y + 3 = 3x - 4y - 3 = 0
When 7y is divided by x, we get 5 as quotient and 1 as remainder. Therefore, by using (i), we
(ii)
7y = 5x +1 = 5x - 7y +1 = 0
Solving equations (ii) and (iii), by cross-multiplication, we get
...(iii)
.
-
4-21
-Y
3 + 15
1
-21 + 20
> x = 25 and y = 18
Hence, the required numbers are 25 and 18.
EXERCISE 3.7
LEVEL-1
1. The sum of two numbers is 8. If their sum is four times their difference, find the numbers
.
The sum of digits of a two digit
number is 13. If the number is subtracted from the one
obtained by interchanging the digits, the result is 45. What is the number?​