Question

The ages of Sam and John are in the ratio 45.Six years from now the ratio of their ages will be 7:8.Find their present ages.

I need Step By Step Explanation please answer and get marked as Brainliest!​

Answer 1

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♡ Step by Step explanation :

Given that the ratio of Sam to John's age would be 4 : 5

So , Let Sam age would be 4x yrs. while that of John's age would be 5x yrs.

Now, After Six yrs. duration

Sam age must be (4x +6 ) yrs

John age must be ( 5x + 6 )yrs.

♤ ATQ

$\frac{4x + 6}{5x + 6} = \frac{7}{8}$

$by \: cross \: multiplication$

we get ,

$32x + 48 = 35x + 42$

$35x - 32x = 48 - 42$

$3x = 6$

$x = 2$

Now , To calculate their present ages what we have assumed is

Sam's age (4x yrs ) = 4× 2 = 8 yrs ______(1)

John's age (5x yrs ) = 5×2 = 10 yrs _______(2)

Hope this helps!!