Question

58. Harsh is older than Charu by 12 years. 4 years ago, the respective ratio between
the ages of Harsh and Charu was 8: 5. What will be Kamal's age fin years) after
7 years whose present age is half of Charu's present age ?
1) 22
2) 15
3) 19
4) 10
5) 25​

Answer 1

Answer:

(3)

kamal's age after 7 years = 19 years

Step-by-step explanation:

$let \: the \: present \: age \: of \: charu = x \: years \\ </p><p>presnt \: age \: of \: harsh = (x + 12) \: years</p><p> \\ \underline{4 \: years \: ago}, \\ age \: of \: charu = (x - 4) \: years \\ age \: of \: harsh = x + 12 - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (x + 8) \: years \\ \frac{age \: of \: harsh}{age \: of \: charu} </p><p> = \frac{8}{5} \\ \frac{x + 8}{x - 4} = \frac{8}{5} \\ 5(x + 8) = 8(x - 4) \\ 5x + 40 = 8x - 32 \\ 72 = 3x \\ x = 24 \: years \\ So, \: present \: age \: of \: charu = 24 \: years \\ kamal's \: present \: age= \frac{1}{2} \times present \: age \: of \: charu \\ = \frac{1}{2} \times 24 \\ = 12 \: years \: \\ \underline{after \: 7 \: years} \: \\ kamal's \: age \: after \: 7 \: years = 12 + 7 \\ = 19 \: years$

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