Given,
In a two digit number, the units digit is thrice the tens digit.
Let the number be "ab"
⇒ b = 3a
Therefore, we have,
ab = 10a+b
When 36 is added to the number, the digits interchange their place.
⇒ 10a + b + 36 = 10b + a
substituting b = 3a, we get,
10a + 3a + 36 = 10(3a) + a
10a + 3a + 36 = 30a + a
13a + 36 = 31a
36 = 31a - 13a
36 = 18a
a = 36/18
∴ a = 2
b = 3 × 2
∴ b = 6
Therefore, the required number is 26
Verification:
We have,
ab = 26
26 + 36 = 62
Step-by-step explanation:
In a two digit number, the unit’s digit is thrice the ten’s digit. If 36 is added to the number, the digits interchange their place, then the number is
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Verified answer
Given,
In a two digit number, the units digit is thrice the tens digit.
Let the number be "ab"
⇒ b = 3a
Therefore, we have,
ab = 10a+b
When 36 is added to the number, the digits interchange their place.
⇒ 10a + b + 36 = 10b + a
substituting b = 3a, we get,
10a + 3a + 36 = 10(3a) + a
10a + 3a + 36 = 30a + a
13a + 36 = 31a
36 = 31a - 13a
36 = 18a
a = 36/18
∴ a = 2
b = 3 × 2
∴ b = 6
Therefore, the required number is 26
Verification:
We have,
ab = 26
26 + 36 = 62
Step-by-step explanation:
In a two digit number, the unit’s digit is thrice the ten’s digit. If 36 is added to the number, the digits interchange their place, then the number is