A and B are together 90 years old. Five years ago A was thrice as old as B was. Hence, the ages of A and B five years back would be (x - 5) years and (85 - x) years respectively. State whether the statement is true or false.

Solution:

Given, A and B are together 90 years old.

Five years ago, A was thrice as old as B.

The ages of A and B five years back would be (x - 5) years and (85 - x) years.

We have to determine if the given statement is true or false.

Age of A + age of B = 90 years

Let the present age of A = x years

Present age of B = 90 - x years

Five years ago,

Age of A = x - 5 years

Age of B = 90 - x - 5

= 85 - x years

Therefore, the ages of A and B five years ago would be (x - 5) years and (85 - x) years.

✦ Try This: X and Y are together 50 years old. Seven years ago X was twice as old as Y was. Hence, the ages of X and Y seven years back would be (x - 7) years and (43 - x) years respectively. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 2

NCERT Exemplar Class 8 Maths Chapter 4 Problem 38

A and B are together 90 years old. Five years ago A was thrice as old as B was. Hence, the ages of A and B five years back would be (x - 5) years and (85 - x) years respectively. State whether the statement is true or false.

Summary:

The given statement, ”A and B are together 90 years old. Five years ago A was thrice as old as B was. Hence, the ages of A and B five years back would be (x - 5) years and (85 - x) years respectively” is true.

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