Question

The ratio of present ages of Rangitha and shaheen is 6:5. after 12 years the ratio of their ages will be 7:6 what is ramgitha's present age?

Answer 1

let ramgitha age be 6x and shaheen age be 5x
after 12 years
6x+12/5x+12=7/6
36x+72=35x+84
x=12
ramgitha age is 12×6=72 years

Answer 2

$\huge\sf\pink{Answer}$

☞ Present age of Rangitha is 72 years

$\rule{110}1$

$\huge\sf\blue{Given}$

✭ The ratio of present ages of Rangitha and Shaheen is 6:5

✭ After 12 years the ratio of their ages will be 7:6

$\rule{110}1$

$\huge\sf\gray{To \:Find}$

◈ Ranjitha's Present Age?

$\rule{110}1$

$\huge\sf\purple{Steps}$

Assume that,

◕ Present age of Rangitha = 6x years

◕ Present age of Shaheen = 5x years

$\bullet\underline{\textsf{As Per the Question}}$

After 12 years,

➳ Age of Rangitha = (6x+12) years

➳ Age of Shaheen = (5x + 12 ) years

That is,

$\leadsto\sf{(6x+12):(5x+12)=7:6}$

$\dashrightarrow\sf{\dfrac{6x+12}{5x+12}=\dfrac{7}{6}}$

$\dashrightarrow\sf{36x+72=35x+84}$

$\dashrightarrow\sf{36x-35x=84-72}$

$\orange{\dashrightarrow\sf x=12}$

➝ Present age of Rangitha = 6×12 = 72 years

$\rule{170}3$