Fraction a/b is equivalent to 7/20 & a + b= 135 find fraction a/b?

2 Answers

Anonymous Profile
Anonymous answered
Given:
(a) A / B = 7/20
(b) A + B = 135

Let A = B * 7/20

Sub A = B * 7 into (b)
(B * 7/20) + B = 135
B * 27/20) = 135
B = 135/(27/20)
B = 100

Sub B = 100 into (a)
A / (100) = 7/20
A = 7/20 * 100
A = 35

Therefore, A equals 35 and B equals 100.

Check
LS
35/100 = 0.35
RS
7/20 = 0.35
Vin Ginge Profile
Vin Ginge answered
If , a/b = 7/20 then 20a = 7b and we can write... 20a - 7b = 0
As a + b = 135 then multiplying throughout by 7 gives 7a + 7b = 945
Adding these two equations gives, ...27a  = 945 : Then a = 945/27 = 35
Substituting this value for a in (say) the first equation
(20 x 35) = 7b
700 = 7b : B = 700/7 = 100

The fraction a/b = 35/100

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