Question

Present ages of Rana and Rohit are in ratio of 5 : 9 .After 6 years, ratio of their ages will be 7 : 11. Find the present ages of Rana and Rohit ..Solve quickly.​

Answer 1

Answer:

the answer is

Step-by-step explanation:

5:9

after 6 years ,. age will be 5x+6/9x+6 =7/11

= Rana is if 14 years and Rohit is of 22 years

Answer 2

❋Question:

☛Present ages of Rana and Rohit are in ratio of 5 : 9 .After 6 years, ratio of their ages will be 7 : 11. Find the present ages of Rana and Rohit....?

❋Answer:

♚Given data are as follows:

☛ Ratio of ages of Rana and Rohit is 5:9

↬Then, let their ages be 5x,9x

☛After, six years the ratio of their ages = 7:11

$</p><p>\large{\sf{\bigstar{\underline{\underline{\red{According \:to \:question}}}}}}$

the required equation would be

$⇢ \large{ \sf{ \frac{5x + 6}{9x + 6} = \frac{7}{11} }} \\ \sf{ \underline{ \underline{ \dag{ \green{now \: cross \: multiplying}}}}} \\ \\ ⇢ \large{ \sf{11(5x + 6) = 7(9x + 6)}} \\ \\ ⇢ \large{ \sf{55x + 66 = 63x + 42}} \\ \\ ⇢ \large{ \sf{55x - 63x = 42 - 66}} \\ \\ ⇢ \large{ \sf{ \: \: \cancel{-} 8x = \cancel{ - }24}} \\ \\ ⇢ \large{ \sf{x = \cancel{\frac{24}{3} }}} \\ \\ ⇢ \large{ \sf{ x = 3}}$

☛Required ages of Rana and Rohit are

$\large{ \therefore{ \boxed{ \sf{ \pink{age \: of \: rana = 5(3) = 15 \: years}}}}} \\ \\ \large{ \therefore{ \boxed{ \orange{ \sf{age \: or \: rohit = 9(3) = 27 \: years}}}}}$