two numbers are in the ratio 5:7. if 6 is added to both, the ratio becomes 7:8. find the numbers
Answers
Answered by
3
let the no.s. be 5x & 7x
ATQ,
5x+6 : 7x+6 = 7:8
8(5x+6) = 7(7x+6)
40x + 48 = 49x + 42
49x - 40x = 48 - 42
9x = 6
x = 6/9
x = 2/3
therefore, the nos. are 5×2/3 = 10/3
7×2/3 = 14/3
ATQ,
5x+6 : 7x+6 = 7:8
8(5x+6) = 7(7x+6)
40x + 48 = 49x + 42
49x - 40x = 48 - 42
9x = 6
x = 6/9
x = 2/3
therefore, the nos. are 5×2/3 = 10/3
7×2/3 = 14/3
Similar questions