Question

a) If 45 subtracted from twice the greater of two numbers,
it results in the other number. If 22 is subtracted from
twice the smaller number, it results in the greater
number, find the numbers.
[2]​

Answer 1

hola!

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.

hope it helps..❤️