Question

famina's mother is 22yrs younger than famina's grandmother and 27 yrs older than famina the sum of their ages are 121 yrs find their present ages​

Answer 1

ғᴇᴍɪɴᴀ's ᴍᴏᴛʜᴇʀ ᴀɢᴇ ʙᴇ x

ɢʀᴀɴᴅᴍᴏᴛʜᴇʀ ᴀɢᴇ = x + 22

ғᴇᴍɪɴᴀ ᴀɢᴇ = x - 27

sᴜᴍ ᴏғ ᴛʜᴇɪʀ ᴀɢᴇs = 121

x + x + 22 + x - 27 = 121

3x - 5 = 121

3x = 121+ 5

3x = 126

x = 42

ᴀɢᴇ ᴏғ ᴍᴏᴛʜᴇʀ = 42

ᴀɢᴇ ᴏғ ɢʀᴀɴᴅᴍᴏᴛʜᴇʀ = 42 + 22 = 64

ᴀɢᴇ ᴏғ ғᴇᴍɪɴᴀ = 42 - 27 = 15

Answer 2

solution;

Given that,

Femina’s mother is 22 years younger than Femina’s grandmother.

Femina's mother 27 years older than Femina.

So,

According to statement

☆ The sum of their ages be 121 years .

Basic Concept Used :-

Writing System of Linear Equation from Word Problem.

1. Understand the problem.

Understand all the words used in stating the problem.

Understand what you are asked to find.

2. Translate the problem to an equation.

Assign a variable (or variables) to represent the unknown.

Clearly state what the variable represents.

3. Carry out the plan and solve the problem.

ATQ

x+(x+27)+(x+49)=121

3x+76=121

3x=121-76

3x=45

x=45÷3

x=15