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The ages of Shivali and Tanisha are in the ratio of 11:7 respectively.

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Bunuel
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The ages of Shivali and Tanisha are in the ratio of 11:7 respectively. [#permalink] New post   03 Dec 2020, 07:15
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The ages of Shivali and Tanisha are in the ratio of 11:7 respectively. After 8 years the ratio of their ages will be 15:11. What is the difference in years between their ages?

A. 4 year

B. 6 year

C. 8 year

D. 12 year

C. 14 year
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C
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Re: The ages of Shivali and Tanisha are in the ratio of 11:7 respectively. [#permalink] New post   03 Dec 2020, 07:31
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Shivali's present age = 11x
Tanisha's present age = 7x
After 8 years

Shivali's age = 11x + 8
Tanisha's age = 7x + 8

As per question 11x + 8/7x + 8 = 15/11

121x + 88 = 105x + 120
16x = 32
x = 2

Difference in their ages = 11*2 - 7*2 =4*2 =8
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Re: The ages of Shivali and Tanisha are in the ratio of 11:7 respectively. [#permalink] New post   03 Dec 2020, 12:06
Bunuel wrote:
The ages of Shivali and Tanisha are in the ratio of 11:7 respectively. After 8 years the ratio of their ages will be 15:11. What is the difference in years between their ages?

A. 4 year

B. 6 year

C. 8 year

D. 12 year

C. 14 year


11---------------->15 = Difference is 4
7----------------->11 = Difference is 4

Given , After 8 years the ratio of their ages will be 15:11

So 4 represents 8 years, thus (11-7 = 4) represents 8 years, Answer must be (C)
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Re: The ages of Shivali and Tanisha are in the ratio of 11:7 respectively. [#permalink] New post   08 Dec 2020, 14:16
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Bunuel wrote:
The ages of Shivali and Tanisha are in the ratio of 11:7 respectively. After 8 years the ratio of their ages will be 15:11. What is the difference in years between their ages?

A. 4 year

B. 6 year

C. 8 year

D. 12 year

C. 14 year

Solution:

We can let the ages of Shivali and Tanisha be 11x and 7x, respectively. We can create the equation:

(11x + 8)/(7x + 8) = 15/11

15(7x + 8) = 11(11x + 8)

105x + 120 = 121x + 88

32 = 16x

2 = x

Since the difference in years between their ages is 11x - 7x = 4x, the difference is 4(2) = 8 years.

Answer: C
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Re: The ages of Shivali and Tanisha are in the ratio of 11:7 respectively. [#permalink] New post   09 Dec 2020, 01:48
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Take a random number for their present ages.

Suppose Shivali is 22 then Tanisha is 14 so that ratio is 11:7

After 8 years: Shivali: 22 + 8 = 30 and Tanisha: 14 + 8 = 22

New ratio: 30 : 22 = 15:11

Difference in age: 22 - 14 = 8

Answer C
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Re: The ages of Shivali and Tanisha are in the ratio of 11:7 respectively. [#permalink]
09 Dec 2020, 01:48
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