If I multiply a number L by another number M, I get 452,199. If I multiply L by the successor of M, I get 454,322. Find L x L.
Answers
Question :- If i multiply a number L by another number M, i get 452,199. If i multiply L by the successor of M, i get 454,322. Find L x L. ?
Given that,
→ L * M = 452199 ---------- Eqn.(1)
and,
→ L * (M + 1) = 454322
→ LM + L = 454322
Putting value of LM from Equation (1) Now,
→ 452199 + L = 454322
→ L = 454322 - 452199
→ L = 2123 .
Therefore,
→ L * L
→ 2123 * 2123
→ (2123)²
→ (2100 + 23)²
using (a + b)² = (a² + b² + 2ab)
→ 4410000 + 529 + 96600
→ 4,507,129 (Ans.)
Answer:
4,507,129
Step-by-step explanation:
→ L * M = 452199 ---------- Eqn.(1)
and,
→ L * (M + 1) = 454322
→ LM + L = 454322
Putting the value of LM from Equation (1) Now,
→ 452199 + L = 454322
→ L = 454322 - 452199
→ L = 2123 .
Therefore,
→ L * L
→ 2123 * 2123
→ (2123)²
→ (2100 + 23)²
using (a + b)² = (a² + b² + 2ab)
→ 4410000 + 529 + 96600
→ 4,507,129 (Ans.)