**Linear Equations In One Variable**

**Question 1.****Solution:**

**Question 2.****Solution:**

**Question 3.****Solution:**

**Question 4.****Solution:**

**Question 5.****Solution:**

**Question 6.****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.**

**Solution.**

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.

**Question 7.****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.**

**Solution.**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 = .