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).

let one number be ‘x’

⇒ Then other number be (40-x)

⇒ Let us suppose (40 – x)>x

⇒ According to the question. When each number is increased by 8. Then,

⇒ (40-x) + 8 = 3 × (x + 8)

⇒ 48-x = 3x + 24

⇒ -x-3x = 24-48

⇒ -4x = -24

⇒ So, one number is 6

⇒ and other number = (40-6)

= 34

⇒ Difference between two numbers =

= 28

⇒ But in the question given that two differs by 40

⇒ 28≠40.

⇒ Hence, it is not true.