Question

The difference between two numbers is
26 and one numbers is three times the
other. Find the sum of these numbers

Answer 1

Answer:

Heya!

==》52 is the correct answer.

Step-by-step explanation:

☆ Question:

The difference between two numbers is 26 and one numbers is three times the other. Find the sum of these numbers?

☆ Solution:

Method: Elimination by substitution

==》Let the greater number be 'x' and smaller number be 'y'.

=》Now, According to the first condition

The difference between two numbers is 26. i.e. x - y = 26... (1)

Now, According to the second condition

One number is three times the other. i.e. x = 3y... (2)

Now, substituting x = 3y in equation (1) we get

=》x - y = 26

=》3y - y = 26

=》2y = 26

=》 y = 26/2

=》 y = 13

Now,

Substituting the value of y in equation (1)

=》x - y = 26

=》x - 13 = 26

=》x = 26 + 13

=》x = 39

==》Therefore the numbers are 39 and 13.

=》Now,

Find the sum of these numbers?

39 + 13 = 52

==》Therefore the sum of these numbers is 52.

Thank You,

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