Question

Find the number that must be subtracted from the terms of the ratio 5:6 to make it equal to 2:3

Answer 1

Answers:

$\huge{\boxed{\boxed{\sf{1:6}}}}$

Step-by-step explanation:

$\huge{\boxed{\boxed{\underline{\sf{SOLUTION-}}}}}$

>>Let the number is x which is subtracted from given number to get 2:3.

$ratio = 5:6 \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{5y}{6y} \\ \: \: \: \: \: \: \: \: \: \: \: = \frac{5}{6} \\ according \: to \: the \: question \\ = ) \frac{5}{6} - x = \frac{2}{3} \\ taking \: lcm \\ = ) \frac{(5 - 6x)}{6} = \frac{2}{3} \\ cross \: multiply \: the \: eqn \\ = )15 - 18x = 12 \\ = ) - 18x = - 3 \\ = )x = \frac{ - 3}{18} \\ = ) x = \frac{1}{6} \\ 1:6 should \: be \: subtracted \\ \: from \: given \: ratio \: to \: get \: 2:3$

$\huge{\boxed{\boxed{\sf{1:6}}}}$