Question

plz solve it ⚡⚡⚡⚡⚡⚡⚡​

Answer 1

Given,

The ages of Aqib and Sania are in the ratio of 1:2.

After 11 years the ratio in ages will be 2:3.

To Find,

The Present age of Aqib.

The Present age of Sania.

Solution :

$\implies$ Suppose the age of Aqib and Sania be a years

$\mapsto \underline{\sf{\pink{According \ to \ the \ First \ Condition :}}}$

The ages of Aqib and Sania are in the ratio of 1:2.

$\implies \sf{The \ Present \ age \ of \ the \ Aqib = a \ years}$

$\implies \sf{The \ Present \ age \ of \ the \ Sania = 2a \ years}$

$\mapsto \underline{\sf{\pink{According \ to \ the \ Second \ Condition :}}}$

After 11 years the ratio in ages will be 2:3.

$\implies \sf{a + 11 : 2a + 11 = 2:3}$

$\implies \sf{\dfrac{a + 11}{a + 11} = \dfrac{2}{3}}$

$\implies \sf{3(a + 11) = 2(b + 11)}$

$\implies \sf{3a + 33 = 2a + 22}$

$\implies \sf{3a - 2a = 22 - 33}$

$\implies \sf{3a - 2b = 11}$

$\implies \boxed{\sf{a = 11}}$

Therefore,

$\boxed{\large{\sf{\red{The \ Age \ of \ Aqib = a = 11 \ years}}}}$

$\boxed{\large{\sf{\red{The \ Age \ of \ Sania = 2a = 2(11) = 22 \ years}}}}$

$\rule{200}2$