Mrs Tan has 2 daughters, Phoebe and Jody. The highest common factor and lowest common multiple of their ages are 3 and 168 respectively. If Phoebe is 3 years older than her sister, find her age.

Phoebe's age = 24 years.

Step-by-step explanation:

Given:

Highest Common Factor and Lowest Common Multiple of the ages are 3 and 168 respectively.

Phoebe is 3 years older than Jody.

To find:

The age of Phoebe = ?

Solution:

Here, We have two numbers whose

HCF = 3 and

LCM = 168

Let the age of Phoebe = P years and

Let the age of Jody = J years

As per given statement:

Let us learn about the property of LCM and HCF of two numbers.

The product of LCM and HCF of two numbers is equal to the product of the two numbers themselves.

LCM HCF = P J  

Putting the value of P from equation (1):

Negative value for age is not possible So, Jody's age = 21 years

Using equation (1):

Phoebe's age = 21 + 3 = 24 years.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

more detail

step-by-step explanation: