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X A number consists of two digits of which ten’sdigit exceeds the unit digit by 7. The numberitself is equal to 10 times the sum of its digits.Find the number. |
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Answer» Step-by-step EXPLANATION: Let the DIGIT in the tens place be x and units place be y. FINAL number = 10x + y x = y + 7 x - y = 7 ----- (1) 10x + y = 10(x + y) 10x + y = 10x + 10y 10x - 10x = 10y - y 9y = 0 y=0 ------(2) Substituting (2) in (1) x - 0 = 7 x = 7 Final number = 10x + y = 10(7) + 0 = 70 |
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