8. The ratio of the present age of Hatim and Hakim is 9:11. If 7 years

1.	8. The ratio of the present age of Hatim and Hakim is 9:11. If 7 years ago Hatim was 20 years old,then find the ratio of their ages after 3 years.a. 9:11b. 5:6c. 7:9d. 2:5
Answer» $\Huge\mathrm{Question:}$ The ratio of the present age of Hatim and Hakim is 9:11. If 7 years ago Hatim was 20 years OLD, then FIND the ratio of their ages after 3 years. a. 9:11 b. 5:6 c. 7:9 d. 2:5 $\Huge\mathrm{Answer:}$ Ratio of present ages = 9:11 Let the age of Hakim 7 years ago be = x Hakim's present age = x + 7 Age of Hatim 7 years ago = 20 Ratio of their ages 7 years ago = 20:x 27 : x + 7 = CURRENT ratio of ages. $\frac{27}{x + 7} = \frac{9}{11}$ By cross multiplication : $9(x + 7) = 11 \times 27$ $9x + 63 = 297$ $9x = 297 - 63$ $9x = 234$ $x = \frac{234}{9}$ $x = 26$ Hakim's present age = 26 + 7 = 33 Hatim's present age = 27 Their ages after 3 years = 30,36 Ratio = $\frac{30}{36} = \frac{5}{6}$ HENCE, the answer = 5:6