Divide RS 1775 into three parts such that the second part is 4/5 of the first and the ratio between the first and the third is 4:7.
Answers
Answer:
500 , 400 & 875
Step-by-step explanation:
Let the 1st part be x ; 2nd part will be 4x/5 ;
3rd part will be 1775 - (x +4x/5) = 1775 - 9x/5 = 8875-9x/5
Ratio between 1st part and 3rd part is 4:7. So,
x / (8875-9x)/5 = 4/7
5x / (8875-9x) = 4/7
35x = 35500 - 36x
71x = 35500
x = 500
2nd part = 4 *500 / 5 = 400
3rd part = 1775 - (500 + 400) = 875
...
Answer:
500,400,875
Step-by-step explanation:
Let the first part be 'x'.
It is said that the second part is (4/5) of the first.
So, the second part = (4x/5).
Then, the third part = 1775 - (x + 4x/5)
= (8875 - 9x)/5.
It is said the the ratio between the first and the third is 4:7
⇒ (x)/(8775 - 9x)/5 = 4/7
⇒ (5x/8775 - 9x) = 4/7
⇒ 35x = 35500 - 36x
⇒ 71x = 35500
⇒ x = 500.
Second part:
(4/5) x = (4/5) * 500
= 400.
Third part:
(8775 - 9x)/5
= (8775 - 4500)/5
= 875.
Therefore,
First part = 500
Second part = 400
Third part = 875.
Hope it helps you
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