Question

three numbers are on the ratio 4:5:6 if the sum os the largest and the smallest equals the sum of the third and 55. find the number​

Answer 1

Answer:

Reffer to the attachment

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Answer 2

Answer :-

• The numbers are 44, 55 and 66.

To find :-

• The numbers.

Solution :-

• It is given that three numbers are in the ratio 4 : 5 : 6.

Let :-

• The numbers be 4x, 5x and 6x.

Here,

• The largest number is 6x, the smallest number is 4x and the third number is 5x.

It is given that :-

• The sum of the largest and the smallest numbers is equal to the sum of the third number and 55.

Therefore,

$\dashrightarrow\sf6x + 4x = 5x + 55$

$\sf\dashrightarrow 10x = 5x + 55$

$\sf \dashrightarrow 10x - 5x = 55$

$\sf \dashrightarrow 5x = 55$

$\sf \dashrightarrow x = \cancel{\dfrac{55}{5} }$

$\sf\dashrightarrow x = 11$

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Hence, the numbers are :-

$\bf4x = 4 \times 11 = 44.$

$\bf5x = 5 \times 11 = 55.$

$\bf6x = 6 \times 11 = 66.$