If a:b=5:6 and b:c =8:5 then find tje valie of (a+b+c)/(2a-b-c)
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59
Step-by-step explanation:
Given a/b=5/6
Multiplying by 4 in both numerator and denominator.
a/b = (5×4)/(6×4) = 20/24
And b/c = 8/5
Multiplying by 3 in both numerator and denominator.
b/c = (8×3)/(5×3) = 24/15
So a:b:c = 20:24:15
Now let H.C.F. of a, b, c = x
So a = 20x, b = 24x, c = 15x
∴ (a+b+c)/(2a-b-c) = (20x+24x+15x)/(40x-24x-15x)
= 59x/x
= 59
So answer is 59.
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