Linear Equations In One Variable
The ages of Hari and Harry are in the ratio 5: 7. Four years from now the ratio of their ages will be 3 :4. Find their present ages.
Let the present ages of Hari and Harry be 5x years and 7x years respectively.
∴ Present age of Hari =5 x 4 years = 20 years
∴ Present age of Harry =7 x 4 years = 28 years.
The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is . Find the rational number.
Let the numerator of the rational number be x. Then, the denominator of the rational number = x + 8.
∴ The rational number =
If the numerator is increased by 17 and the denominator is decreased by 1, the number becomes .
Hence, the required rational number = .