Question

Aaron as 3 times as many sweets as Bola Aaron gives Bola 6 sweets and now he has twice as many as her new total How many sweets did they each begin with

Answer 1

Answer:

Aaron = 54

Bola = 18

Step-by-step explanation:

Let

$A \to Aaron$

$B \to Bola$

From the first statement, we have:

$A = 3B$

After given Bola 6 sweets,

$A - 6 = 2(B + 6)$

Required

The initial number of sweets each has

Substitute $A = 3B$ in $A - 6 = 2(B + 6)$

$3B - 6 = 2(B + 6)$

Open bracket

$3B - 6 = 2B + 12$

Collect like terms

$3B -2B = 12+6$

$B = 18$

Substitute $B = 18$ in $A = 3B$

$A = 3 * 18$

$A = 54$