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If-4a-5b-9c-36-and-7a-9b-17c-66-then-a-b-c-




Question Number 53324 by 0955083339 last updated on 20/Jan/19
If 4a + 5b + 9c=36 and 7a + 9b + 17c=66,  then a+b+c=_____.
If4a+5b+9c=36and7a+9b+17c=66,thena+b+c=_____.
Answered by Kunal12588 last updated on 21/Jan/19
let a+b+c=k  4a+4b+4c+b+5c=36  ⇒4k+(b+5c)=36         (1)  7a+7b+7c+2b+10c=66  ⇒7k+2(b+5c)=66       (2)     let b+5c=h  4k+h=36    [multiply by 2]  8k+2h=72  7k+2h=66  ⇒k=a+b+c=72−66=6
leta+b+c=k4a+4b+4c+b+5c=364k+(b+5c)=36(1)7a+7b+7c+2b+10c=667k+2(b+5c)=66(2)letb+5c=h4k+h=36[multiplyby2]8k+2h=727k+2h=66k=a+b+c=7266=6
Commented by tanmay.chaudhury50@gmail.com last updated on 21/Jan/19
excellent...
excellent

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