Q2 of 42 Page 8

In the adjacent sum, A, B, C are consecutive digits. In the third row, A, B, C appear in some order. Find A, B, C.

Given A, B and C are consecutive numbers


Let A = x, then B = x + 1 and C = x + 2


C + A = x + x + 2 = 2x +2


B + B = x + 1 + x + 1 = 2x +2


A + C = 2x+2


Considering A, B and C at one`s place respectively


(a) C + A + A = 2x + 2 + x = 3x + 2 = 12 or 22


∴ which are not possible solutions


(b) C + A + B = 2x +2 + x + 1 = 3x +3 = 12 or 22


⇒


But is not a possible solution


So x = 3


⇒ A = 3 and B = 4 and C = 5


We can verify the solution by putting the values in the question



(Here order is A C B)


More from this chapter

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2

Write the following in the decimal form:

(i) (5 × 10) + (6 × 1);


(ii) (7 × 100) + (5 × 10) + (8 × 1);


(iii) (6 × 1000) + (5 × 10) + (8 × 1);


(iv) (7 × 1000) + (6 × 1);


(v) (1 × 1000) + (1 × 10).

 1

In the following, find the digits represented by the letters:

(i) (ii)


(iii) (iv)


(v) (vi)

1

Find the quotient and the remainder when each of the following numbers is divided by 13.

8, 31, 44, 85, 1220.

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Find the quotient and the remainder when each of the following numbers is divided by 304.

128, 636, 785, 1038, 2236, 8858.