Question

Mary and vivian have some money. if mary gave vivan $8 they would have same amount. However if vivan gives mary $8, then mary would have 9 times as much as vivan. how much money did mary start with

Answer 1

Money with Mary = $28

Money with Vivan = $12

Explanation

Money with Mary = $ m

Money with Vivan = $v

If mary gave vivan $8 they would have same amount. $ 8 is reduced from Mary's amount 'm' and $8 is added to vivan amount 'v'

m - 8 = v + 8

m = v + 8 +8

m -v = 16 ----------------(I)

If vivan gives mary $8, then mary would have 9 times as much as vivan.

9(v - 8) = m + 8

9v - 72 = m + 8

9v - m = 8 + 72

-m + 9v = 80 --------------(II)

Add equation (I) and (II). Thus m will be cancelled and we will get the value of v

(I) m - v = 16

(II) -m + 9v = 80 {Now add}

8v = 96

v = 96/8

v = $ 12

Plugin v = 12 in equation (I)

m - 12 = 16

m = 16 +12

m =$ 28