Question

The dfferente between is if 8 if is added to the biggar numberse the resultse will bethreetimse thesmall numbarse find the numbarse

Answer 1

let x be greater number and y be smaller number.

as per the question,

1st equation- 2x - 45 = y

2nd equation - x = 2y - 21

                      ⇒ x+21/2 = y

substituting the value of y in equation 1, we get

                         2x - 45 = x+21/2

                     ⇒  2(2x-45) = x+21

                     ⇒  4x - x = 21+ 90

                     ⇒  x = 111/3

                     ∴ x = 37

so, greater no. is 37.

on putting value of x in equation one we get,

                         2x - 45 = y

                         2×37 - 45 = y

                       ⇒ 74 - 45 = y

                       ∴ y = 29

so, value of greater no. and smaller no. respectively are :- 37 and 29 respectively.