If (3a + 2b ) : (2a + 5b) = 12:19, then find a:b
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(3a + 2b ) : (2a + 5b) = 12:19
3a+2b=12 =>6a+4b=24. (2)
2a+5b=19 =>6a+15b=57. (1)
SUBTRACT 1 FROM 2
6a+4b=24
-6a-15b=-57
-11b=-33
b=3
PUT b = 3 IN 1
6a+4(3)=24
6a=24-12
a=2
RATIO = 2:3
3a+2b=12 =>6a+4b=24. (2)
2a+5b=19 =>6a+15b=57. (1)
SUBTRACT 1 FROM 2
6a+4b=24
-6a-15b=-57
-11b=-33
b=3
PUT b = 3 IN 1
6a+4(3)=24
6a=24-12
a=2
RATIO = 2:3
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