Ex (5) The ratio of two numbers is 5 : 7. If 40 is added in each number, then the ratio becomes
25:31. Find the numbers.
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Answer:
60 , 84
Step-by-step explanation:
Let the numbers be : 5X and 7X
If 40 is added to each number : 5X + 40 , 7X + 40
Equation : 5X + 40 / 7X + 40 = 25 / 31 [ Because the ratio becomes 25 : 31]
25 ( 7X + 40) = 31 ( 5X +40) { By cross multiplying }
175X + 1,000 = 155X + 1,240
175X ( - ) 155X = 1,240 ( - ) 1000 { By transposing the like terms }
20X = 240
X = 240 / 20
X = 12
5X = 5 ( 12 ) = 60
7X = 7 ( 12 ) = 84
∴ The numbers are 60 and 84
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