Question

an amount of $180 is shared among 3 people in the ratio x:y:z find the smallest and largest share given that x=4 , y=11 and z=3

Answer 1

ACCORDING TO QUESTION RATIO IS X :Y :Z

AND TOTAL AMOUNT = 180 RS

VALUES OF X ,Y, Z ARE GIVEN ...

NOW LET THE SHARES BE AX ,AY ,AZ

THEREFORE

AX + AY+ AZ = 180

4A + 11A + 3A = 180

18 A = 180

A = 10

NOW THE SHARES ARE AX = 4 × 10 = 40 RS

....... ...........AY = 11 × 10 =110 RS

........... .................AZ = 3 ×10 = 30 RS

HOPE IT HELPS

Answer 2

$\underline\mathit\green{To \:find...}$

⠀⠀⠀⠀ ⠀ ⠀⠀

✰✰ The smallest amd the largest share among the 3 people...

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀

$\underline\mathit\green{Given...}$

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

✰✰ The amount of $ 180 is shared among the X, Y, Z in 4 : 11 : 3

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

$\huge\underline\mathit\green{SoLution...}$

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

✰✰ we can written it in another way as X gets $\dfrac{4}{18}$of the amount, Y gets$\dfrac{11}{18}$of the amount and Z gets$\dfrac{3}{18}$ of the amount...

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

$\underline\mathit\green{Hence,...}$

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

• ✰✰The amount gets by X...

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

$\dfrac{4}{18} \times 180$

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

$\boxed{\red{\underline\textbf{ X = 40 }}}$

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

• ✰✰The amount gets by Y...

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

$\dfrac{11}{18} \times 180$

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

$\boxed{\red{\underline\textbf{ Y = 110 }}}$

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

• ✰✰The amount gets by Z...

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

$\dfrac{3}{18} \times 180$

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

$\boxed{\red{\underline\textbf{ X = 30 }}}$

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

Therefore, the required amount for the total amount is $ 180 and X gets $ 40 , Y gets 110 and Z gets 30...

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

• ✰✰ The smallest share given by Z is $ 30...

⠀⠀⠀⠀ ⠀ ⠀⠀ ⠀⠀⠀

• ✰✰ The largest share given by Y is $ 110...

_________________________