one positive number is 3 more than twice another. if the square of the smaller is addes to the larger, the sum is 51. find the numbers.

Question

I just need to know how I write the equation I'm horrible making words into numbers it doesn't connect please help

Answer 1

Let x = the smaller number

Let 2x + 3 = the larger number

x^2 + 2x + 3 = 51

x^2 + 2x - 48 = 0

(x - 6)(x + 8) = 0

x - 6 = 0 or x + 8 = 0

x = 6 or x = -8, not a positive number

2x + 3 = 15