THE DENOMINATOR OF A RATIONAL NUMBER IS 5 MORE THAN THE NUMERATOR.IF THREE IS ADDED TO BOTH OF THEM THE NUMBER BECOMES 1/2.FIND THE RATIONAL NUMBER.
Answers
Answered by
2
Let us assume, x is the numerator and y is the denominator of the rational number.
Given:
y = x + 5
y - x = 5 -------------1
also given:
(x + 3) / (y + 3) = 1/2
2 (x + 3) = y + 3
2x + 6 = y + 3
y - 2x = 3 --------------2
Subtract equation 2 from equation 1
x = 2
Therefore, y = x + 5 = 2 + 5 = 7
The rational number = x/y = 2/7
Given:
y = x + 5
y - x = 5 -------------1
also given:
(x + 3) / (y + 3) = 1/2
2 (x + 3) = y + 3
2x + 6 = y + 3
y - 2x = 3 --------------2
Subtract equation 2 from equation 1
x = 2
Therefore, y = x + 5 = 2 + 5 = 7
The rational number = x/y = 2/7
Similar questions