Question 15 - Figure it out - Page 132, 133, 134 - Chapter 5 Class 8 - Number Play (Ganita Prakash)

Transcript

Question 15 (i) Solve the cryptarithms — (i) EF × E = GGGNow, GGG is a number like 111, 222, 333, 444, …. So, we can write GGG = G × 111 GGG = G × 37 × 3 Assuming G = 1 Our equation becomes 37 × 3 = 111 This satisfies our equation So, our answer is E = 3, F = 7, G = 1 Question 15 (ii) Solve the cryptarithms — (ii) WOW × 5 = MEOWAny number multiplied by 5 will end with 0 or 5 Now, W cannot be 0 as number WOW = 0O0 (Middle digit is O, not zero) – as number cannot start with 0 Thus, W = 5 Putting W = 5 in our equation 5O5 × 5 = MEO5 We can try different values of O and check it out For O = 0, 505 × 5 = 2525, but it doesn’t match 5O5 × 5 = MEO5. So, not possible For O = 1, 515 × 5 = 2575, but it doesn’t match 5O5 × 5 = MEO5. So, not possible For O = 2, 525 × 5 = 2625, but it doesn’t match 5O5 × 5 = MEO5. So, not possible For O = 3, 535 × 5 = 2675, but it doesn’t match 5O5 × 5 = MEO5. So, not possible For O = 4, 545 × 5 = 2725, but it doesn’t match 5O5 × 5 = MEO5. So, not possible For O = 5, 555 × 5 = 2775, but it doesn’t match 5O5 × 5 = MEO5. So, not possible For O = 6, 565 × 5 = 2825, but it doesn’t match 5O5 × 5 = MEO5. So, not possible For O = 7, 575 × 5 = 2875, it matches 5O5 × 5 = MEO5. So, it is possible Thus, our equation is 575 × 5 = 2875 And, our answer is W = 5, O = 7, M = 2, E = 8