NIMCET 2017 Question Paper with solutions

Let largest number is P
and any two choosen numbers x and y.
According to the question P + x- y is divisible by 10.
So, P + x - y ≥ 10 ... (i)
P is largest then x - y< P (ii)
These inequalities can be written in equation form
P + x - y = 10 ...(iii)
and x - y = P ... (iv)
On subtracting &q.(iv) by (iii), we get
P+ x- y - x+ y = 10 - P
P = 10-P
=>2P = 10
⇒ P = $\frac{10}{2}$ = 5