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Sol :

Q.] The difference between two numbers is 26 and one number is three

times the other. Find them.

Let the two numbers be x and y. (x > y)

According to the first condition,

x

y

=

26

... (i)

According to the second condition,

x

=

3y

... (ii)

Substituting (ii) in (i)

3y

y

=

26

2y

=

26

y

=

13

Solve the equations by either Substitution or Elimination Method

Substituting y

=

13

in (ii)

x

=

3(13)

x

=

39

∴ The given numbers are 39 and 13.