Question

Three numbers are in the ratio 3 ratio 4 ratio 5.the sum of the largest and smallest is 84 added to the third. find the numbers. ​

Answer 1

Answer:

63;84;105

Explanation:

assume the numbers as

3x ,4x and 5x

ATQ

3x+5x= 84+4x

8x= 84+4x

on simplification

4x = 84 and

x= 21

3x=3x21=63

4x=4x21=84

5x=5x21=105

Hope it helps

Answer 2

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$\huge\red{\underline{{\bf Question : }}}$

• Three numbers are in the ratio 3: 4: 5. The sum of the largest and smallest is 84 added to the third. find the numbers.

$\huge\red{\underline{{\bf Answer : }}}$

$\large\bf{\underline\blue{Given:-}}$

• The three numbers in the ratio = 3 : 4 : 5

• the largest and smallest is 84 added to the third.

$\large\bf{\underline\green{To Find:-}}$

• Find the numbers.

$\large\bf{\underline\orange{Solution:-}}$

• Let the three numbers be 3x, 4x and 5x respectively.

• Now,

▪️According to the question :

$\sf{⟹ 3x + 5x = 4x + 84}$

$\sf{⟹ 8x - 4x = 84}$

$\sf{⟹ x = \frac{84}{4} = 21}$

• Therefore,

$\sf{⇝First\:no : 3 \times 21 = 63}$

$\sf{ ⇝Second \:no: 5 \times 21 = 105}$

$\sf{ ⇝Third\: no : 4 \times 21 = 84}$

▪️Hence, the three numbers are :-

${\boxed{{\bf{63, 105, 84}}}}$

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