Question
Download Solution PDFयदि x + y = 12, y + z = 15 और x + z = 18, तब x + y + z = ? ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
x + y = 12, y + z = 15, x + z = 18
गणना:
x + y = 12 ---- (1)
y + z = 15 ---- (2)
x + z = 18 ---- (3)
समीकरणों (1) और (2) को हल करने पर,
⇒ x - z = -3 ---- (4)
समीकरणों (3) और (4) को हल करने पर,
⇒ x = 7.5
समीकरण (1) में x का मान रखने पर
⇒ y = 4.5
समीकरण (2) में y का मान रखने पर
⇒ z = 10.5
x + y + z
⇒ 7.5 + 4.5 + 10.5
⇒ 22.5
∴ x + y + z का मान 22.5 है।
Shortcut Trick
(1), (2) और (3) को जोड़ने पर,
⇒ 2(x + y + z) = 45
⇒ (x + y + z) = 45/2 = 22.5
∴ x + y + z का मान 22.5 है।
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