Question

Product of two successive number is 6972.What is the greater number???

Answer 1

Answer:

Step-by-step explanation: let one number be x and other x + 1

x*x+1=6972

x^2 + x - 6972 = 0

now we have to do middle term split

x^2 + 84x - 83 x - 6972

x(x+84)-83(x+84)

(x-83)(x+84)

therefore x = 83 and the greater no. is 84