Question

28. Find the value of X in the given proportions (I) x: 4 :: 5:2 (ii) (6/9) = (2/x+1) *​

Answer 1

Answer:

$x : 4 : : 5 : 2 \\ x : 4 = 5 : 2 \\ \frac{x}{4} = \frac{5}{2} \\ 2x = 4 \times 5 \\ 2x = 20 \\ x = \frac{20}{2} \\ \large x = \bf \underline{ \underline{ 10}} \\ \\ 6 \div 9 = 2 \div (x + 1) \\ \frac{6}{9} = \frac{2}{x + 1} \\ 6(x + 1) = 2 \times 9 \\ 6x + 6 = 18 \\ 6x = 18 - 6 \\ 6x = 12 \\ x = \frac{12}{6} \\ \large x = \bf \underline{ \underline{ 2}}$