Question

the sum of present ages kiran and Kate is 60 years if the ratio of thier presenta he's be 7:8, find thier present ages

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Answer 1

Answer:

x=28

Step-by-step explanation:

Kiran age will be x

age of Kate will be 60-x

x/(60-x)=7/8

8x = 420-7x

15x=420

x= 420/15

x=28

60-x= 32

Answer 2

The present ages of Kiran and Kate are 28 years and 32 years respectively.

Given:

The sum of the present ages of Kiran and Kate is = 60 years.

The ratio of their present ages is 7: 8.

To Find:

Their present ages =?

Solution:

Here, the question will be solved by solving the equation containing two variables as follows;

Let, the present age of Kiran be 'x' years and the present age of Kate be 'y' years.

Now, according to the condition given in  the problem,

The sum of their present ages is 60 years;

i.e., x + y = 60                               ------------------- (1)

Also, the ratio of their present ages is 7: 8,

i.e., $\frac{x}{y}$  =  $\frac{7}{8}$

∴ 8x = 7y

∴ 8x - 7y = 0                                  -------------------- (2)

Now, multiply the equation (1) by 7, to solve both equations simultaneously.

Then equation (1) modifies as:

7x + 7y = 420                               --------------------- (3)

By adding equation (2) and (3), w get;

15x = 420

∴ x =  $\frac{420}{15}$

∴ x = 28

Putting the value of 'x' in equation (1), we get;

28 + y = 60

y = 60 - 28

y = 32 years.

Thus, their present ages are 28 years and 32 years respectively.

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