Question

There are three numbers. When the third number
is subtracted from the sum of the remaining two
numbers, the result is 16.When the second
number is subtracted from the remaining two
numbers, the result is 24.When the first number
is subtracted from the sum of the remaining two
numbers; the result is 32. What is the ratio of
those numbers?
a)3: 4:5 b)5: 6:7 c)3:4:6 d)3:5:6​

Answer 1

${\bold {\large {\underline {\green {\mathcal {ANSWER:}}}}}}$

Let the

1st number be = x

2nd number be = y

3rd number be =z

now according to question,

the equations will be

$x + y - z = 16 - - - (1) \\ x + z - y = 24 - - - -(2) \\ y + z - x = 32 - - - (3)$

now by adding equation (1) and (2)

${\bold {\large {\boxed {\pink {\mathcal {x=20}}}}}}$

now add equation (2) and (3)

${\bold {\large {\boxed {\pink {\mathcal {z=28}}}}}}$

now add equation (1) and (3)

we get,

${\bold {\large {\boxed {\pink {\mathcal {y=24}}}}}}$

so the ratio will be

${\bold {\large {\boxed {\red {\mathcal {5:6:7}}}}}}$