Question

The sum of three numbers is 1639 find the numbers if their ratio is 3 1/3: 4 1/5: 6 1/8

Answer 1

Answer:

The number 1639 divide into 3 parts, those are 400, 504 and 735.

Step-by-step explanation:

Hey Mate,

Given Data:

Sum of Three numbers is 1639

Ratio of that three numbers are $3\frac{1}{3} : 4\frac{1}{5} : 6\frac{1}{8}$

So,

$3\frac{1}{3} = \frac{10}{3}  \\4\frac{1}{5} = \frac{21}{5}\\6\frac{1}{8} = \frac{49}{8}$

Lets,

(10/3) X : (21/5) X : (49/8) X  is the original ratio of no. 1639.

Therefore, sum of all those three ratio is must be equal to 1639.

So,

${\frac{10}{3} + \frac{21}{5} +  \frac{49}{8}}X = 1639$

LCM of 3, 5 and 8 is 120.

{(400 + 504 + 735)/120}X = 1639

(1639/120) X = 1639

X = 120

Now, put the value of X in (10/3) X : (21/5) X : (49/8) X

400 : 504 : 735.

The number 1639 divide into 3 parts, those are 400, 504 and 735.