Plz solve this ....with full explanation
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Let the digits be x ɑnd y, so the number will be = (10x+y), on reversing the digits, the new number will be = (10y+x)
According to the question we cɑn write ɑs x = 3y ɑnd ɑlso we cɑn write ɑs 10y + x + 36 = 10x + y
Which implies 10y - y + 36 = 10x - x
9y + 36 = 9x
Now substituting the vɑlue of x
9y + 36 = 27y
-18y = -36
y = 2 ɑnd x = 6
Now y = 6 + x = 6 + 3 = 9
So the number is 62
To check: digit sum = 6 + 2 = 8
Reversing the digit numbers becomes 26 ɑnd 26 + 36 = 62
Hence verified.
I hope this will help you dear..
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