Question

The present ages of M and N are as 5 : 6. Five years ago their ages were in the ratio of 4 : 5. Find their present ages ?

Select one:

a. 25 years, 30 years

b. 35 years, 42 years

c. 50 years, 60 years

d. 40 years, 48 years​

Answer 1

Answer:

a. 25 years, 30 years

Step-by-step explanation:

Given:

• The present ages of M and N are as 5 : 6.
• Five years ago their ages were in the ratio of 4 : 5.

To find:

• Their present ages.

Solution:

Let the present ages of M and N be 5x and 6x respectively.

5 years ago, the age of M and N are (5x - 5) and (6x - 5) respectively.

According to the problem,

• (5x - 5)/(6x - 5) = 4/5
• 5(5x - 5) = 4(6x - 5)
• 25x - 25 = 24x - 20
• 25x - 24x = - 20 + 25
• x = 5

Finally,

• Present age of M = 5 × 5
• Present age of M = 25 years

• Present age of N = 6 × 5
• Present age of N = 30 years

∴ Their present ages are 25 years and 30 years respectively.

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Answer 2

$\huge\fbox\pink {✰}\fbox\blue {A}\fbox\purple{N}\fbox\green {S}\fbox\red{W}\fbox\orange{E}\fbox{R}\fbox\gray{✰}$

option A