Question

separate the number 51 into two parts so that the second part is 3 more than twice as large as the first part.

Answer 1

Answer:

X = 35 , Y = 16

Step-by-step explanation:

let the two numbers are X  and Y :

∵ X+Y = 51     ---------->(1)

∵ X = 2Y+3    ---------->(2)

∴ substitute by (2) in (1) :

∴ (2Y + 3) + Y = 51

∴ 3Y +3 =51

∴ 3Y = 48

∴ Y = $\frac{48}{3}$ = 16    ---------->(3)

∴ substitute by (3) in (2) :

∴ X = (2 x 16) + 3

∴ X = 35    ---------->(4)

∴ from (3) and (4) :  

X = 35 , Y = 16