Question

The ages of X and Y are in the ratio 1:2. After 8 years, their ages will be in the ratio
3:4. The sum of their present ages is
​

Answer 1

Answer:

Step-by-step explanation:

hey mate

we have a simple logic to solve this answer

given X : Y = 1 : 2

after 8 years it is 3 : 4

this means X increased from 1 to 3 and Y increased from 2 to 4

both increased 2 parts which is equal to 8 years

2 parts = 8 years

1 part = 4 years

sum of present ages of X and Y = sum of present parts of X and Y = ( 1 + 2 ) = 3 parts

==> 3 × 4  = 12 ( as 1 part = 4 years )

so total sum = 12 years

try this method mate... you can solve any problem with this method

Answer 2

Question :

The ages of X and Y are in the ratio 1:2. After 8 years, their ages will be in the ratio 3:4. The sum of their present ages ?

Solution :

Let the present ages of x and y be p and 2p.

Accordingly to the question:

After 8 years ,their ages will be in the ratio 3:4.Then

$\implies \sf \dfrac{p + 8}{2p + 8} = \dfrac{3}{4}$

$\sf \implies4(p + 8) = 3(2p + 8)$

$\sf \implies4p + 32 = 6p + 24$

$\sf \implies6p - 4p = 32 - 24$

$\sf \implies2p = 8$

$\sf \implies \: p = 4$

Therefore ,

Present age of x = p = 4 years

and Present age of y ,2p = 8 years

Hence , the sum of their present ages

= 4+8= 12 years .

______________________

Verification:

Present age of x = 4 years

Present age of y = 8 years

After 8 years their ages in the ratio 3:4

$\sf \implies \frac{4 + 8}{8 + 8} = \frac{12}{16} = \frac{3}{4}$

Hence , Verified .