amina think of a number and substract 5/2 from it. she multiples the result by 8. The result now obtained is 3 times the same number she Though of. what is the number?
Answers
Answer:
the number is 4
Step-by-step explanation:
according to the question,
8(x-5/2)=3x
so,
8x-20=3x
8x-3x=20
5x=20
x=20/5
x=4
hope it helps
✪ Question ✪
Amina thinks of a number and substracts 5/2 from it. She multiples the result by 8. The result now obtained is 3 times the same number she thought of. What is the number?
✪ To find ✪
The number Amina thought of.
✪ Solution ✪
Let the number be x.
According to condition,
(x-5/2) × 8 = 3x
→ (2x-5)/2 × 8 = 3x
→ (2x-5) × 4 = 3x {8 ÷ 2 = 4}
→ 8x-20 = 3x {Multiplying (2x-5) with 4}
→ 8x-3x = 20
→ 5x = 20
→ x = 20/5
→ x = 4
✪ Hence ✪
The number = x = 4
✪ Therefore ✪
The number Amina thought of is 4.
________________________________
✪ Verification ✪
(x-5/2) × 8 = 3x
→ (4-5/2) × 8 = (3 × 4) {taking x as 4}
→ (8-5)/2 × 8 = 12
→ 3/2 × 8 = 12
→ 3 × 4 = 12
→ 12 = 12
Hence, L.H.S = R.H.S.
Done ࿐