Question

20. Rakesh's age is less than Sonia's 1 point
age by 10 years. The sum of their
ages is 36 years. How old are they?
Choose the correct equation for the following
word problem
O x + (x+10) = 36
O x +10 = 36
O X - 10 = 36
O x + 36 = 10​

Answer 1

Given -

• Rakesh's age is less than Sonia's age by 10yrs.

• The sum of their ages is 36yrs.

To -

• Find thier ages and correct equation.

Solution -

Let the age of Rakesh be x

So, the age of Sonia will be x + 10

As given that the sum of their ages is 36.

According to question -

$\longmapsto$ x + (x + 10) = 36

$\longmapsto$ 2x + 10 = 36

$\longmapsto$ 2x = 36 - 10

$\longmapsto$ 2x = 26

$\longmapsto$ x = $\cancel{\dfrac{26}{2}}$

$\longmapsto$ x = 13

Now,

Placing 13 in place of x -

$\longmapsto$ Sonia's age = x + 10 = 13 + 10 = 23

$\longmapsto$ Rakesh's age = x = 13

$\therefore$ The age of Sonia is 23 yrs and Rakesh is 13 yrs.

Correct option -

Option A is the correct equation.

$\longmapsto$ x + (x + 10) = 36

_______________________________________________

Answer 2

Solution:

Let,

Rakesh's age is x

and Sonia's age is (x+10)

ATQ,

x+(x+10)=36

2x+10=36

2x=36-10

2x=26

x=26÷2

x=13

Answer:

Rakesh's age is 13

and Sonia's age is (13+10)=23