Question

84 apples are divided between a, b, c in such a way that a gets 7 apples more than b does and b gets 7 apples more than c does. the ratio of their shares is

Answer 1

a+b+c=84
a+a-7+a-7-7=84
3a=84-21
a=63/3
a=21

hence b=21-7=14
c=14-7=7

hence a:b:c=21:14:7=3:2:1

Answer 2

Answer:

The ratio of their shares is 5:4:3

Step-by-step explanation:

Given :84 apples are divided between a, b, c in such a way that a gets 7 apples more than b does and b gets 7 apples more than c does

To Find: the ratio of their shares is?

Solution:

Let the share of c be x

We are given that

b gets 7 apples more than c does

So, b's share = x+7

Now we are given that a gets 7 apples more than b

So, a's share = x+7+7=x+14

Now we are given that total apples are 84

So, $x+x+7+x+14=84$

$3x+21=84$

$3x=63$

$x=21$

So, c's share = 21

b' share = x+7 = 21+7=28

a's share = x+14=21+14=35

So, Ratio of their shares = 35:28:21 = 5:4:3

Hence the ratio of their shares is 5:4:3