If m : n = 3 : 2, then find the ration of (4m + 5n): (4m – 5n).
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Answered by
11
- (4 m + 5 n ) : ( 4 m - 5 n )
put the value of m and n.
= ( 4 x 3 + 5 x 2 ):(4 x 3 - 5 x 2 )
= (12 + 10 ) :(12-10)
= 22 / 2 = 11
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Answered by
4
Given:
m : n = 3 : 2
==> m/n =3/2
==>Multiplying both sides by 4/5
==> 4m / 5n = 3/2 * 4/5
==> 4m / 5n = 12 / 10
==> 4m / 5n = 6 /5
We know that by componendo and dividendo:
If a : b then a + b : a - b
Hence:
==> (4m + 5n) : (4m - 5n ) = ( 6 + 5 ) : (6 -5 )
==> (4m + 5n) : (4m - 5n ) = 11 : 1
The ratio is 11 : 1
Hope it helps you.
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