Question

salil's age is 23 years more than half of sangrame age ago, the sund of their ages was 55 years. Find their present ages:- ?????
PLEASE FIND THE ABOVE SOLUTION PLEASE ​

Answer 1

Answer:

We will consider Salil’s age be x years and Sargams’s age y years. Then from the given data we will form two equations and then we will solve them to get the value of x and y. These will be the ages or we can say present ages of Salil and Sargam.

Complete step by step solution:

Let the present ages of Salil and Sargam be x and y years respectively.

The first condition is, Salil’s age is 23 years more than half of Sargams’s age. This can be formed in the equation as,

x=y2+23

….equation (1)

taking the LCM on RHS,

x=y+23×22

On cross multiplying 2 and taking the product on RHS,

2x=y+46

Taking the variables on one side we get,

2x−y=46

this is simplified equation (1)

Now from the second condition, five years ago, the sum of their ages was 55 years. This can be formed in the equation as,

(x−5)+(y−5)=55

…..equation (2)

On solving the brackets,

x+y−10=55

Taking the constants on one side we get,

x+y=55+10

⇒x+y=65

this is simplified equation (2)

On adding equation (1 )and equation (2),

2x−y+x+y=46+65

Cancelling y and adding the x terms from the equation we get,

3x=111

Now on dividing 111 by 3 we get,

x=1113

⇒x=37

Now this is the present age of Salil. Now putting this value in any of the simplified equations we get,

y=65−x⇒y=65−37⇒y=28

This is the present age of Sargam.

Therefore, the present ages of Salil and Sargam are 37 years and 28 years respectively.