Question

Question #4b52f

Answer 1

41

Explanation:

Uncle must be older than Rohan because(suprise) Uncle is his uncle.
`U-R=30quad=>quadR=U-30`

`(R+7)+(U+7)=66`
`U=?`

---

`R+U+14=66`

`=>R+U=52`

`=>U-30+U=52`

`=>2U=82`

`=>U=41`

Answer 2

The uncle is 41.

Explanation:

Let x = Rohan's age
Let y = Uncle's age
also I'm assuming the uncle is older...

Equation 1: `y-x=30`
(Think, if Uncle is 50 and Rohan is 20 this works.)

Next we know that in 7 years they'll both be 7 years older, so they'll be `x+7` and `y+7` years old at that point. At that point we know the sum of their ages, so:

Equation 2: `x+7 + y+7=66\rightarrow x+y+14=66`
So, `x+y=52`

Now we solve the system with equation 1 and equation 2:

`x+y=52` and `y-x=30`

Add the equations and we get `2y=82\rightarrow y=41`.

If `y=41` and `y-x=30` we know that `41-x=30`, so `x=11`.

Now we can check: If we add 7 to both we get 48 and 18, add those up and we get 66, so it works.