if ab=11250 and b/a=18 find a+b=?
Answers
Answer:
ab=11250. (I)
b/a=18
let's find b value first,
b/a=18
b=18*a. (ii)
now putting equation 2 into 1
a*18a=11250
19a^2=11250
a^2=11250/18
a^2=625
now by underoot 625, we can find the value of a
a=√625
a=25
now value of b-
ab=11250
25b=11250
b=11250/25
b=450
Now, a+b =?
a=25
b=450
25 + 450 = 475
This is our answer
The value of a + b = 475
Given :
ab = 11250 and b/a = 18
To find :
The value of a + b
Solution :
Step 1 of 2 :
Write down the given equations
Here it is given that ,
ab = 11250 - - - - - (1)
b/a = 18 - - - - - - - (2)
From Equation 2 we get
b = 18a - - - - - - (3)
Step 2 of 2 :
Find the value of a and b
ab = 11250
⇒ a × 18a = 11250 [ Using Equation 3 ]
⇒ 18a² = 11250
⇒ a² = 11250/18
⇒ a² = 625
⇒ a = √625
⇒ a = 25
From Equation 3 we get
b = 18a
⇒ b = 18 × 25
⇒ b = 450
Step 3 of 3 :
Find the value of a + b
We get a = 25 & b = 450
Thus we have ,
a + b
= 25 + 450
= 475
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