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Byju's Answer

Standard XII

Mathematics

nth Term of A.P

The table abo...

Question

The table above shows the results of subtracting the numbers $a, b, c$ , and $d$ from each other. Each number in the body of the table gives the difference when the number at the far left of the table is subtracted from the number at the top of the table. For example, $d - a = 8$ . If $c = 20$ , what is the value of $a + b + c + d$ ?

63

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65

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67

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69

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71

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Solution

The correct option is E $71$
Given, $c = 20$
According to the table, we have
$c - a = 7$ which gives $a = 13$ .
$b - a = 4$ which gives $b = 13 + 4 = 17$ .
$d - a = 8$ which gives $d = 13 + 8 = 21$ .
Therefore $a + b + c + d = 13 + 17 + 20 + 21 = 71$ .

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The correct option is E 71Given, c=20According to the table, we havec−a=7 which gives a=13.b−a=4 which gives b=13+4=17.d−a=8 which gives d=13+8=21.Therefore a+b+c+d=13+17+20+21=71.

The correct option is E $71$
Given, $c = 20$
According to the table, we have
$c - a = 7$ which gives $a = 13$ .
$b - a = 4$ which gives $b = 13 + 4 = 17$ .
$d - a = 8$ which gives $d = 13 + 8 = 21$ .
Therefore $a + b + c + d = 13 + 17 + 20 + 21 = 71$ .