1.

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.​

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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