The ten's digit of a two digit number is $2$ more than its unit's digit. If the number is divided by the unit's digit the quotient is $16.$ Find the number.

54

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64

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44

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74

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Solution

The correct option is B $64$
Let the units digit = $x$ , then Tens digit = $x + 2$
Number = $10 (x + 2) + x = 10 x + 20 + x = 11 x + 20$
$\frac{11 x + 20}{x} = 16 11 x + 20 = 16 x 20 = 5 x x = 4$
Tens digit $= x + 2 = 6$
Number $= 64$

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The ten's digit of a two digit number is 2 more than its unit's digit. If the number is divided by the unit's digit the quotient is 16. Find the number.

The correct option is B 64Let the units digit = x, then Tens digit = x+2Number = 10(x+2)+x=10x+20+x=11x+2011x+20x=1611x+20=16x20=5xx=4Tens digit =x+2=6Number =64

The ten's digit of a two digit number is $2$ more than its unit's digit. If the number is divided by the unit's digit the quotient is $16.$ Find the number.

The correct option is B $64$
Let the units digit = $x$ , then Tens digit = $x + 2$
Number = $10 (x + 2) + x = 10 x + 20 + x = 11 x + 20$
$\frac{11 x + 20}{x} = 16 11 x + 20 = 16 x 20 = 5 x x = 4$
Tens digit $= x + 2 = 6$
Number $= 64$