Question

The ages of a and b are in the ratio 7:5 ten years hence the ratio of their ages will be 9:7 findtheor present ages

Answer 1

Answer:

a = 35 years , b = 25 years

Step-by-step explanation:

let age of a be 7x

let age of b be 5x

after ten years their ages will be 7x + 10 , 5x+10

ratio of their ages is 9:7

7x+10/5x+10 = 9/7

7 (7x+10) = 9(5x+10)

49x+70 = 45x + 90

49x-45x = 90 - 70

4x= 20

x=20/4

x= 5

therefore their present ages are 7x = 7*5 = 35 years

present age of b = 5x = 5*5 = 25 years

Answer 2

$\circ\circ\circ\circ\underline{\fbox{\fbox{\fbox{\fbox{\fbox{\Large{\underline{\textbf{SOLUTION}}}}}}}}}\circ\circ\circ\circ$

$Let\:the\:age\:of\:'A'\:is=7x\:yr\\\\And\:the\:age\:of\:'B'\:is=5x\:yr\\\\After\:10\:yr\\\\\frac{7x+10}{5x+10}=\frac{9}{7}\\\\\\\implies49x+70=45x+90\\\\\implies49x-45x=90-70\\\\\implies4x=20\\\\\implies x=5\\\\\\\boxed{\boxed{'A' age=7x=7\times5=35\:yr}}\\\\\boxed{\boxed{'B'\:age=5x=5\times5=25\:yr}}$