Question

the ratio of ages of A and B is 2:3.After 10 year,the ratio will be 3:4.Find their present ages.​

Answer 1

Answer:

here is your answer

Step-by-step explanation:

present age of A and B=2:3

after 10 year =3:4

A=2x

B=3x

a/q

=2x+10/5x+10=3/4

4[2x+10]=3[3x+10]

8x +40=9x+30

8x-9x=30-40

-x=-10

(-) get cancel then the answer is

x=10

Answer 2

Answer:

A's present age = 10years.

B's present age = 15years.

Step-by-step-explaination:

Let's assume A's present age to be 2x

and

B's present age to be 3x

According to the question , after five years , ratio of there age will be 3:4

☞ Age after five years :

A's age = 2x + 5

and

B's age = 3x + 5

We , can infer that :

$\implies \sf \dfrac{(2x + 5)}{(3x + 5)} = \dfrac{3}{4}$

Doing cross multiplication :-

$\implies \sf \: 3(3x + 5) = 4(2x + 5)$

$\implies \sf \: 9x + 15 = 8x + 20$

$\implies \sf \: 9x + 8x = 20 - 15$

$\implies \sf \: x = 5$

We earlier assumed :

☞ A's present age to be 2x , putting values

=> 2 × 5 = 10 years.

☞ B's present age to be 3x, putting values

=> 3 × 5 = 15.

What you need to know !

• An equation usually consists of terms and variables.

• The variables carries unknown value , which is generally intended to find.

• In an equation we substitute the known values and perform few addition and subtraction to find out the value of unknown.

• Solving an equation has. a bas on undoing an operation.

• An operation can be undone by performing an opposite operation like performing subtraction over addition to find out unknown.

• The most important and first step to solve an equation is correctly framing it.