Question

the difference of two numbers is 6 if three times the smaller number is equal to two time the greater one, find the numbers.

help me fast by substitution method
step by step explanation please
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Answer 1

Step-by-step explanation:

Given :-

Difference between two numbers is 26 and one number is three times the other.

Solution :-

Let the larger number be x

Let the smaller number be y

According to the question,

⇒ x – y = 26

⇒ x = 26 + y

Then,

⇒ x = 3y

Putting the value of x we get

⇒ 26 = 3y-y

⇒ 26 =2y

⇒ 13 = y

So value of x = 3y

Putting value of y, we get

⇒ x = 3 × 13

⇒ x = 39

Hence, the numbers are 13 and 39.