Answer:
a:b = 14 : 15
Step-by-step explanation:
The equation is 2a−3b/5 = a+b/3
To find the ratio you will find the fraction of a/b. Therefore,
2a−3b/5 = a+b/3
(10a - 3b)/5 = (3a + b)/3
cross multiply
3(10a - 3b) = 5(3a + b)
30a - 9b = 15a + 5b
collect like terms
30a -15a - 9b - 5b = 0
15a - 14b = 0
15a = 14b
divide both sides by b
15a/b = 14
divide both sides by 15
a/b = 14/15
Therefore,
a:b = 14 : 15
