The sum of digits of two digit number is 10 and difference between the digits is 2. What is the number?
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Answer:
6,4
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✽ Question ✽
The sum of digits of two digit number is 10 and difference between the digits is 2. What is the number?
✽ Given ✽
The sum of digits of two digit number is 10 and difference between the digits is 2.
✽ To find ✽
The number.
✽ Solution ✽
Let the ones digit be x.
So, tens digit = (10-x)
According to condition,
(10-x) - x = 2
→ 10 - x - x = 2
→ 10 - 2x = 2
→ -2x = 2 - 10
→ -2x = -8
→ 2x = 8
→ x = 8/2
→ x = 4
✽ Hence ✽
x = 4
Ones digit = x = 4
Tens digit = (10-x) = (10-4) = 6
✽ Therefore ✽
The number is 64.
-----------------------------------------------------------
✽ Verification ✽
(10-x) - x = 2
→ 6 - 4 = 2
→ 2 = 2
So, L.H.S = R.H.S.
Hence, verified.
Hope this helps you.
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