the difference between two numbers is 26 and one number id 3times of the other find the number
Answers
Let two numbers be x & y
Let two numbers be x & yx−y=26 ____ (1)
Let two numbers be x & yx−y=26 ____ (1)x=3y ____ (2)
Let two numbers be x & yx−y=26 ____ (1)x=3y ____ (2)substituting (2) in (1) we get
Let two numbers be x & yx−y=26 ____ (1)x=3y ____ (2)substituting (2) in (1) we get3y−y−26
Let two numbers be x & yx−y=26 ____ (1)x=3y ____ (2)substituting (2) in (1) we get3y−y−262y=26
Let two numbers be x & yx−y=26 ____ (1)x=3y ____ (2)substituting (2) in (1) we get3y−y−262y=26y=13
Let two numbers be x & yx−y=26 ____ (1)x=3y ____ (2)substituting (2) in (1) we get3y−y−262y=26y=13x=3y from (2)
Let two numbers be x & yx−y=26 ____ (1)x=3y ____ (2)substituting (2) in (1) we get3y−y−262y=26y=13x=3y from (2)x=3×13
Let two numbers be x & yx−y=26 ____ (1)x=3y ____ (2)substituting (2) in (1) we get3y−y−262y=26y=13x=3y from (2)x=3×13x=39
Let two numbers be x & yx−y=26 ____ (1)x=3y ____ (2)substituting (2) in (1) we get3y−y−262y=26y=13x=3y from (2)x=3×13x=39we need to find sum of two numbers
Let two numbers be x & yx−y=26 ____ (1)x=3y ____ (2)substituting (2) in (1) we get3y−y−262y=26y=13x=3y from (2)x=3×13x=39we need to find sum of two numbersx+y=39+13
Let two numbers be x & yx−y=26 ____ (1)x=3y ____ (2)substituting (2) in (1) we get3y−y−262y=26y=13x=3y from (2)x=3×13x=39we need to find sum of two numbersx+y=39+13=52
Answer:
13 & 39
Step-by-step explanation:
Let two numbers be x & y
According to the question, x – y = 26 …(i)
and x = 3y or x – 3y = 0 …(ii)
Now, we can solve this by an elimination method On subtracting Eq. (ii) from (i) we get
x – 3y – x + y = 0 – 26
⇒ – 3y + y = – 26 ⇒
– 2y = – 26 ⇒
y = 13On putting y = 13 in Eq. (ii)
we get x – 3(13) = 0
⇒ x – 39 = 0 x = 39
Hence, the two numbers are 39 and 13