Question

present ages of suman and khushi are in ratio of 3:4 five years from now the ratio of their ages will be 4:5. find their present ages.​

Answer 1

Present ages:   Suman = 3x

                          Khushi = 4x

5 years later: Suman = 4x (or it can be written as) 3x + 5

                       Khushi = 5x (or it can be written as) 4x + 5

3x + 5 = 4x

5 = 4x - 3x

5 = x

Present age of Suman  = 3x = 3(5) = 15 years

Present age of Khushi  = 4x = 4(5) = 20 years

Answer 2

Given,

• The Present ages of Suman and khushi are in ratio of 3:4
• After five years , the ratio of their ages will be 4:5.

To Find,

• Present age of Suman
• Present age of Khushi

Solution :

$\implies$ Suppose the Present age of Suman and Khushi be a

Therefore,

$\implies$ Suppose the Present age of suman be 3a

And, Suppose the Present age of khushi be 4a

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

$\implies \sf{\dfrac{3a + 5}{4a + 5} = \dfrac{4}{5}}$

$\implies \sf{5(3a + 5) = 4(4a + 5)}$

$\implies \sf{15a + 25 = 16a + 20}$

$\implies \sf{15a - 16a = 20 - 25}$

$\implies \sf{-a = -5}$

$\implies \boxed{\sf{a = 5}}$

Now Find Present age of Suman and Khushi :-

$\underline{\boxed{\sf{\red{The \ Present \ age \ of \ suman = 3a = 3(5) = 15 \ years}}}}$

$\underline{\boxed{\sf{\red{The \ Present \ age \ of \ Khushi = 4a = 4(5) = 20 \ years}}}}$

$\rule{200}2$