State whether the statements are true (T) or false (F).Two numbers dif

1.	State whether the statements are true (T) or false (F).Two numbers differ by 40, when each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is (40 – x).
Answer» False. From the question it is given that, One number = x Other number = 40 –x Let us assume (40 – x) > x So, 40 – x + 8 = 3 (x + 8) 48 – x = 3x + 24 – x – 3x = 24 -48 – 4x = -24 X = -24 × (-1/4) X = 6 ∴One number is x = 6 Other number is = 40 – x = 40 – 6 = 34 Difference between numbers = 34 – 6 = 28

State whether the statements are true (T) or false (F).Two numbers differ by 40, when each number is increased by 8, the bigger becomes thrice the lesser number. If one number is x, then the other number is (40 – x).

Answer»

False.

From the question it is given that,

One number = x

Other number = 40 –x

Let us assume (40 – x) > x

So, 40 – x + 8 = 3 (x + 8)

48 – x = 3x + 24

– x – 3x = 24 -48

– 4x = -24

X = -24 × (-1/4)

X = 6

∴One number is x = 6

Other number is = 40 – x

= 40 – 6

= 34

Difference between numbers = 34 – 6 = 28