sum of two consecutive multiple 32 is 416 find the value
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ANSWER:
Given:
- Sum of 2 consecutive multiples of 32 = 416.
To Find:
- The 2 numbers
Solution:
Let the multiples of 32 be 32x and 32(x + 1).
We are given that,
⇒ 32x + 32(x + 1) = 416
Opening bracket,
⇒ 32x + 32x + 32 = 416
Transposing 32 to RHS,
⇒ 64x = 416 - 32
⇒ 64x = 384
Transposing 64 to RHS,
⇒ x = 384/64
⇒ x = 6.
So, the numbers are:
- 32x = 32(6) = 192
- 32(x + 1) = 32(7) = 224
Hence, the 2 consecutive multiples of 32 whose sum is 416 are 192 and 224.
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