If $$ {a^{x}={(x+y+z)^{y}}}, a^{y}=(x+y+z)^{z}  and \ a^{z}=(x+y+z)^{x}$$ then the value of (x +y +z) is

The number obtained by subtracting two-third of 75% of 600 from a number is 320, what is the original number?

Let D and E be two points on the side BC of △ABC such that AD = AE and BAD = ∠EAC. If AB = (3x+1) cm, BD=9 cm, AC = 34 cm and EC = (y+1) cm, then the value of (x + y) is:

The largest three-digit number that gives the same remainder 2 when divided by 3, 5 and 9 is ________.

A straight line parallel to the base QR of the ∆PQR intersect PQ and PR at the points S and T respectively. If the area of the ∆PQT be 36 cm² then area of the ∆PRS is:

The difference between two whole numbers is 110 and the numbers are in ratio 2 : 7. Find the sum of the two numbers.

A radio is sold for Rs.900 at 10% profit. If it had been sold for Rs 890, what would have been the actual profit or loss?

Train A takes 1 hour more than train B to travel a distance of 720 km. Due to engine trouble speed of train B falls by one third, so it takes 3 hours more than Train A to complete the same journey. What is the speed of Train A (in km/hr)?