Two numbers are in the ratio 10 : 7 . If 18 is added to each of the numbers, the ratio becomes 4 : 3 . Find the numbers.
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Answer:
The two numbers are 90 and 63.
Step-by-step explanation:
Let the numbers are 10a and 7a.
According to question, when 18 is added to both numbers, ratio becomes 4:3.
→ ( 10a + 18 ) : ( 7a + 18 ) = 4 : 3
→ 3( 10a + 18) = 4( 7a + 18 )
→ 30a + 54 = 28a + 72
→ 30a - 28a = 72 - 54
→ 2a = 18
→ a = 18/2
→ a = 9
Hence numbers are -
10a = 10(9) = 90
7a =7(9) = 63
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