Ratio and proportion
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hello mate!
Step-by-step explanation:
question Number 6)
2 numbers,
4 is added to both the numerator and Denominator,
8/3= 8x/3x and
here X is the common factor between those numbers, it was being striked out as a result, it's ratio.
8x/3x. are the 2 numbers
as 4 is added.
8x+4/3x+4= 12/5.
cross multiplication .
5(8x+4)=3x+4(12)
40x+20=36x+48.
Transposing 36 x to R.H.S and 20 to L.H.S,
40x-36x=48-20.
4x=28.
x=7.
hence, The Numbers are
1st number = 8x = 8 ×(7) = 56.
2nd number = 3x = 3×(7)= 21.
Verification:-
56/21=8/3
7×2×2×2/7×3= 2×2×2/3=8/3
8/3=8/3.
56+4/21+4= 60/25= 12×5/5×5= 12/5.
hence, satisfied.
thank you mate!
Have a great day ahead!
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