Question

7. Ram is three years older than Shyam. Six years ago, Ram's age was four times Shyam's age. Find the
present age of Ram and Shyam
​

Answer 1

Answer:

$\boxed{\text{Hence after 9 years the sum of their ages will be 150 year.}}$

Step-by-step explanation:

Let the required age of Ram before 6 year was a

So, present age of Ram should be ( a + 6) year.

Six years ago :

Ram's age = 4 x Shyam's age a year = 4 x Shyam's age a / 4 = Shyam age {6 year ago }

= Age of Ram after 6 year = present age + 6

year

= Age of Ram after 6 years = (a + 6) year + 6 =

year = ( a + 12 ) year.

After 6 years:

Ram's age = 3 x Shyam's age

(a + 12 ) year = 3 x Shyam's age

= (a + 12 ) year = 3[ Present age + 6 year ]

= (a + 12 ) year = 3[ ( Age before 6 year + 6 year ) + 6 year]

= a + 12 = 3[ a / 4 + 6 + 6]

= a + 12 = 3( a + 48 ) / 4

= 4a + 48 = 3a + 144

= 4a - 3a = 144 - 48

= a = 96

Therefore,

Present age of Ram is 96 + 6 i.e. 102 year and Shyam is 96 /4+ 6 year i.e. 30 year.

Let after x years the sum of their ages will be 150 :

= Age of Ram after x year + age of Shyam after x year = 150 year

= ( present age of Ram + x year ) + ( present

age of Shyam + x year ) = 150 year

= > ( 102 + 30 + 2x ) = 150

= 132 + 2x = 150

= 2x = 18

= X = 9

$\green{\text{Hence after 9 years the sum of their ages will be 150 year.}}$

Answer 2

Step-by-step explanation:

Above in the attachment is ur answer