The present ages of two persons are in the ratio 1 : 3. After 5 years, the ratio between their ages will be 2 : 5, their ages are : 1. 10 years and 30 years 2. 15 years and 45 years 3. 20 years and 60 years 4. 12 years and 36 years

Mathematics

The present ages of two persons are in the ratio 1 : 3. After 5 years, the ratio between their ages will be 2 : 5, their ages are :
10 years and 30 years
15 years and 45 years
20 years and 60 years
12 years and 36 years

Linear Equations

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Answer

Given,

The present ages of two persons are in the ratio 1 : 3.

Let present age be x and 3x.

Given,

After 5 years, the ratio between their ages will be 2 : 5.

$\Rightarrow \dfrac{x + 5}{3x + 5} = \dfrac{2}{5} \\[1em] \Rightarrow 5(x + 5) = 2(3x + 5) \\[1em] \Rightarrow 5x + 25 = 6x + 10 \\[1em] \Rightarrow 6x - 5x = 25 - 10 \\[1em] \Rightarrow x = 15 \\[1em] \Rightarrow 3x = 3 \times 15 = 45.$

Hence, Option 2 is the correct option.

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Mathematics

The present ages of two persons are in the ratio 1 : 3. After 5 years, the ratio between their ages will be 2 : 5, their ages are :
10 years and 30 years
15 years and 45 years
20 years and 60 years
12 years and 36 years

Linear Equations

Answer

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Mathematics

The present ages of two persons are in the ratio 1 : 3. After 5 years, the ratio between their ages will be 2 : 5, their ages are :10 years and 30 years15 years and 45 years20 years and 60 years12 years and 36 years

Linear Equations

Answer

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The present ages of two persons are in the ratio 1 : 3. After 5 years, the ratio between their ages will be 2 : 5, their ages are :
10 years and 30 years
15 years and 45 years
20 years and 60 years
12 years and 36 years

The sum of numerator and denominator of a fraction is 22. If numerator is 8 less than its denominator; the fraction is :
$\dfrac{9}{13}$
$\dfrac{7}{15}$
$\dfrac{13}{9}$
$\dfrac{15}{7}$

The sum of the digits of a two digit number is 8. The difference between them is 4. If the ten's digit is greater than the unit's digit then the number is :
26
53
71
62

The ratio of two numbers is $\dfrac{2}{3}$ . If 2 is subtracted from the first and 8 from the second, the ratio becomes the reciprocal of the original ratio. Find the numbers.