The sum of two numbers is 144. Double the first number minus thrice the second number is equal to 63. Determine the first two numbers.

Let x,y be the two numbers then, x+y=144 --(1) now, 2x-3y=63 --(2) from (1),x=144-y now substituting x value in eq(2) 2(144-y)-3y=63 288-2y-3y=63 288-5y=63 5y=288-63 5y=225 y=45 now finding x value, x=144-45 x=99 Therefore,the two numbers are 99,45