If l + m + n +p = 1624 and l/m =m/n=n/p=2/5, find l
Answers
Answer:
We have, l/m=m/n=n/p=2/5
⇒ l/m=2/5 , m/n=2/5 , n/p=2/5
⇒l=2m/5 ⇒m=5l/2
Similarly, m/n=2/5 ⇒(5l/2)/n=2/5 ⇒5l/2=2n/5 (putting the value of m)
⇒n=25l/4
And, n/p=2/5 ⇒ (25l/4)/p=2/5 (putting the value of n)
⇒25l/4=2p/5
⇒p=125l/8
Now, also , l+m+n+p=1624
⇒l+(5l/2)+(25l/4)+(125l/8)=1624
⇒203l=1624×8
⇒l=3×8=24 Ans.
Answer:64
Step-by-step explanation:
We have, l/m=m/n=n/p=2/5
⇒ l/m=2/5 , m/n=2/5 , n/p=2/5
⇒l=2m/5 ⇒m=5l/2
Similarly, m/n=2/5 ⇒(5l/2)/n=2/5 ⇒5l/2=2n/5 (putting the value of m)
⇒n=25l/4
And, n/p=2/5 ⇒ (25l/4)/p=2/5 (putting the value of n)
⇒25l/4=2p/5
⇒p=125l/8
Now, also , l+m+n+p=1624
⇒l+(5l/2)+(25l/4)+(125l/8)=1624
⇒203l=1624×8
=64