Q1. The ratio of tens digit to the unit digit of a two digit number is 2:3. If 27 is added to the number, the digits interchange their places, find the number.
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Let them be 2x and 3x
when we write it like a number we write
2x ×10 + 3x = 20x + 3x = 23x
given
23x + 27 = 32x
27 = 32x - 23x
27 = 9x
x = 27 ÷ 9
x = 3
2x = 3 × 2 = 6
3x = 3 × 3 = 9
so the number is 69
VERIFICATION
if we add 27 to 69 we get 96
so 69 is the correct answer.
Thankyou
when we write it like a number we write
2x ×10 + 3x = 20x + 3x = 23x
given
23x + 27 = 32x
27 = 32x - 23x
27 = 9x
x = 27 ÷ 9
x = 3
2x = 3 × 2 = 6
3x = 3 × 3 = 9
so the number is 69
VERIFICATION
if we add 27 to 69 we get 96
so 69 is the correct answer.
Thankyou
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